SECURITIES AND EXCHANGE COMMISSION
                            WASHINGTON, D.C. 20549



                                  FORM 10-Q


               Quarterly Report Pursuant to Section 13 or 15(d)
                    of the Securities Exchange Act of 1934


For the quarter ended                     Commission File Number
 September 30, 1998                                     0-13430



                       DYCO OIL AND GAS PROGRAM 1984-1
                           (A LIMITED PARTNERSHIP)
            (Exact Name of Registrant as specified in its charter)



         Minnesota                          41-1465070
(State or other jurisdiction    (I.R.S. Employer Identification
   of incorporation or                        Number)
     organization)



Samson Plaza, Two West Second Street, Tulsa, Oklahoma  74103
------------------------------------------------------------
(Address of principal executive offices)          (Zip Code)



                              (918) 583-1791
       ----------------------------------------------------
        (Registrant's telephone number, including area code)


Indicate by check mark whether the registrant (1) has filed all reports required
to be filed by Section 13 or 15(d) of the Securities Exchange Act of 1934 during
the  preceding 12 months (or for such  shorter  period that the  registrant  was
required  to file  such  reports),  and  (2) has  been  subject  to such  filing
requirements for the past 90 days.

                        Yes     X               No
                            ------                    ------




                                       1
<PAGE>




                        PART I. FINANCIAL INFORMATION


ITEM 1.  FINANCIAL STATEMENTS

             DYCO OIL AND GAS PROGRAM 1984-1 LIMITED PARTNERSHIP
                                BALANCE SHEETS
                                 (Unaudited)

                                    ASSETS

                                             September 30,     December 31,
                                                1998              1997
                                             -------------     ------------

CURRENT ASSETS:
   Cash and cash equivalents                     $ 77,776         $118,202
   Accrued oil and gas sales                       54,913          104,600
                                                 --------         --------
      Total current assets                       $132,689         $222,802

NET OIL AND GAS PROPERTIES, utilizing
   the full cost method                           226,733          305,697

DEFERRED CHARGE                                    83,517           83,517
                                                 --------         --------
                                                 $442,939         $612,016
                                                 ========         ========

                      LIABILITIES AND PARTNERS' CAPITAL

CURRENT LIABILITIES:
   Accounts payable                              $  6,391         $  6,228
   Gas imbalance payable                           34,853           34,853
                                                 --------         --------
      Total current liabilities                  $ 41,244         $ 41,081

ACCRUED LIABILITY                                $ 42,709         $ 42,709

PARTNERS' CAPITAL:
   General Partner, issued and
      outstanding, 55 units                      $  3,590         $  5,282
   Limited Partners, issued and
      outstanding, 5,500 units                    355,396          522,944
                                                 --------         --------
      Total Partners' capital                    $358,986         $528,226
                                                 --------         --------
                                                 $442,939         $612,016
                                                 ========         ========


            The accompanying condensed notes are an integral part of
                           these financial statements.



                                       2
<PAGE>



             DYCO OIL AND GAS PROGRAM 1984-1 LIMITED PARTNERSHIP
                           STATEMENTS OF OPERATIONS
            FOR THE THREE MONTHS ENDED SEPTEMBER 30, 1998 AND 1997
                                 (Unaudited)

                                                 1998               1997
                                               --------           --------

REVENUES:
   Oil and gas sales                            $89,127           $120,223
   Interest                                       1,916              1,424
                                                -------           --------
                                                $91,043           $121,647

COSTS AND EXPENSES:
   Oil and gas production                       $25,958           $ 34,465
   Depreciation, depletion, and
      amortization of oil and gas
      properties                                 31,003             15,013
   General and administrative
      (Note 2)                                   17,212             18,205
                                                -------           --------
                                                $74,173           $ 67,683
                                                -------           --------

NET INCOME                                      $16,870           $ 53,964
                                                =======           ========
GENERAL PARTNER (1%) - net
   income                                       $   169           $    540
                                                =======           ========
LIMITED PARTNERS (99%) - net
   income                                       $16,701           $ 53,424
                                                =======           ========
NET INCOME PER UNIT                             $  3.03           $   9.71
                                                =======           ========
UNITS OUTSTANDING                                 5,555              5,555
                                                =======           ========


            The accompanying condensed notes are an integral part of
                           these financial statements.



                                       3
<PAGE>



             DYCO OIL AND GAS PROGRAM 1984-1 LIMITED PARTNERSHIP
                           STATEMENTS OF OPERATIONS
            FOR THE NINE MONTHS ENDED SEPTEMBER 30, 1998 AND 1997
                                 (Unaudited)

                                                  1998              1997
                                               ---------          --------

REVENUES:
   Oil and gas sales                            $314,253          $359,964
   Interest                                        4,976             4,396
                                                --------          --------
                                                $319,229          $364,360

COSTS AND EXPENSES:
   Oil and gas production                       $ 73,033          $ 93,985
   Depreciation, depletion, and
      amortization of oil and gas
      properties                                  78,964            55,943
   General and administrative
      (Note 2)                                    58,722            62,728
                                                --------          --------
                                                $210,719          $212,656
                                                --------          --------

NET INCOME                                      $108,510          $151,704
                                                ========          ========
GENERAL PARTNER (1%) - net
   income                                       $  1,085          $  1,517
                                                ========          ========
LIMITED PARTNERS (99%) - net
   income                                       $107,425          $150,187
                                                ========          ========
NET INCOME PER UNIT                             $  19.53          $  27.31
                                                ========          ========
UNITS OUTSTANDING                                  5,555             5,555
                                                ========          ========


            The accompanying condensed notes are an integral part of
                           these financial statements.



                                       4
<PAGE>



             DYCO OIL AND GAS PROGRAM 1984-1 LIMITED PARTNERSHIP
                           STATEMENTS OF CASH FLOWS
            FOR THE NINE MONTHS ENDED SEPTEMBER 30, 1998 AND 1997
                                 (Unaudited)


                                                  1998             1997
                                                ---------       ----------

CASH FLOWS FROM OPERATING ACTIVITIES:
   Net income                                   $108,510          $151,704
   Adjustments to reconcile net income
      to net cash provided by operating
      activities:
      Depreciation, depletion, and
        amortization of oil and gas
        properties                                78,964            55,943
      Decrease in accrued oil and
        sales                                     49,687            57,972
      Increase in accounts payable                   163             1,828
                                                --------          --------
      Net cash provided by operating
        activities                              $237,324          $267,447
                                                --------          --------

CASH FLOWS FROM INVESTING ACTIVITIES:
   Proceeds from the sale of oil and
      gas properties                            $      -          $  1,351
   Additions to oil and gas properties                 -         (   3,619)
                                                --------          --------
   Net cash used by investing
      activities                                $      -         ($  2,268)
                                                --------          --------

CASH FLOWS FROM FINANCING ACTIVITIES:
   Cash distributions                          ($277,750)        ($222,200)
                                                --------          --------
   Net cash used by financing
      activities                               ($277,750)        ($222,200)
                                                --------          --------

NET INCREASE (DECREASE) IN CASH AND
   CASH EQUIVALENTS                            ($ 40,426)         $ 42,979

CASH AND CASH EQUIVALENTS AT
   BEGINNING OF PERIOD                           118,202           110,217
                                                --------          --------
CASH AND CASH EQUIVALENTS AT
   END OF PERIOD                                $ 77,776          $153,196
                                                ========          ========

            The accompanying condensed notes are an integral part of
                           these financial statements.


                                       5
<PAGE>



             DYCO OIL AND GAS PROGRAM 1984-1 LIMITED PARTNERSHIP
                   CONDENSED NOTES TO FINANCIAL STATEMENTS
                              SEPTEMBER 30, 1998
                                  (Unaudited)


1.     ACCOUNTING POLICIES
      -------------------

      The balance sheet as of September 30, 1998,  statements of operations  for
      the  three  and  nine  months  ended  September  30,  1998 and  1997,  and
      statements of cash flows for the nine months ended  September 30, 1998 and
      1997  have been  prepared  by Dyco  Petroleum  Corporation  ("Dyco"),  the
      General Partner of the Dyco Oil and Gas Program 1984-1 Limited Partnership
      (the  "Program"),   without  audit.  In  the  opinion  of  management  all
      adjustments (which include only normal recurring adjustments) necessary to
      present  fairly the financial  position at September 30, 1998,  results of
      operations  for the three and nine  months  ended  September  30, 1998 and
      1997,  and changes in cash flows for the nine months ended  September  30,
      1998 and 1997 have been made.

      Information  and  footnote  disclosures  normally  included  in  financial
      statements  prepared in  accordance  with  generally  accepted  accounting
      principles  have been  condensed or omitted.  It is  suggested  that these
      financial  statements be read in conjunction with the financial statements
      and notes thereto included in the Program's Annual Report on Form 10-K for
      the year ended December 31, 1997. The results of operations for the period
      ended September 30, 1998 are not necessarily  indicative of the results to
      be expected for the full year.


      OIL AND GAS PROPERTIES
      ----------------------

      Oil and gas  operations  are  accounted  for using the full cost method of
      accounting.  All productive and  non-productive  costs associated with the
      acquisition,  exploration  and  development  of oil and gas  reserves  are
      capitalized.  The Program's  calculation of depreciation,  depletion,  and
      amortization  includes  estimated  future  expenditures  to be incurred in
      developing  proved  reserves and estimated  dismantlement  and abandonment
      costs, net of estimated  salvage values. In the event the unamortized cost
      of oil and gas properties  being  amortized  exceeds the full cost ceiling
      (as defined by the  Securities  and  Exchange  Commission),  the excess is
      charged to expense in the period  during which such excess  occurs.  Sales
      and abandonments of




                                       6
<PAGE>



      properties are accounted for as  adjustments of capitalized  costs with no
      gain or loss recognized, unless such adjustments would significantly alter
      the  relationship  between  capitalized  costs  and  proved  oil  and  gas
      reserves.

      The provision for depreciation, depletion, and amortization of oil and gas
      properties is calculated by dividing the oil and gas sales dollars  during
      the  period by the  estimated  future  gross  income  from the oil and gas
      properties and applying the resulting  rate to the net remaining  costs of
      oil and gas properties that have been  capitalized,  plus estimated future
      development costs.


2.     TRANSACTIONS WITH RELATED PARTIES
      ---------------------------------

      Under the terms of the Program's partnership  agreement,  Dyco is entitled
      to  receive a  reimbursement  for all  direct  expenses  and  general  and
      administrative, geological and engineering expenses it incurs on behalf of
      the Program. During the three months ended September 30, 1998 and 1997 the
      Program incurred such expenses totaling $17,212 and $18,205, respectively,
      of which $15,654 was paid each period to Dyco and its  affiliates.  During
      the nine months  ended  September  30, 1998 and 1997 the Program  incurred
      such expenses totaling $58,722 and $62,728, respectively, of which $46,962
      was paid each period to Dyco and its affiliates.

      Affiliates of the Program  operate  certain of the  Program's  properties.
      Their  policy is to bill the  Program for all  customary  charges and cost
      reimbursements associated with these activities.




                                       7
<PAGE>



ITEM 2.     MANAGEMENT'S  DISCUSSION  AND ANALYSIS OF FINANCIAL  CONDITION AND
            RESULTS OF OPERATIONS


USE OF FORWARD-LOOKING STATEMENTS AND ESTIMATES
-----------------------------------------------

      This Quarterly Report contains  certain  forward-looking  statements.  The
      words "anticipate",  "believe",  "expect",  "plan", "intend",  "estimate",
      "project", "could", "may" and similar expressions are intended to identify
      forward-looking  statements.  Such statements reflect management's current
      views  with  respect  to future  events and  financial  performance.  This
      Quarterly Report also includes certain information,  which is, or is based
      upon,  estimates  and  assumptions.  Such  estimates and  assumptions  are
      management's  efforts to accurately reflect the condition and operation of
      the Program.

      Use of  forward-looking  statements and estimates and assumptions  involve
      risks  and  uncertainties  which  include,  but are not  limited  to,  the
      volatility of oil and gas prices, the uncertainty of reserve  information,
      the operating risk associated  with oil and gas properties  (including the
      risk of personal injury,  death,  property  damage,  damage to the well or
      producing  reservoir,  environmental  contamination,  and other  operating
      risks), the prospect of changing tax and regulatory laws, the availability
      and capacity of  processing  and  transportation  facilities,  the general
      economic climate,  the supply and price of foreign imports of oil and gas,
      the level of consumer  product demand,  and the price and  availability of
      alternative  fuels.  Should  one or more of these  risks or  uncertainties
      occur or should  estimates  or  underlying  assumptions  prove  incorrect,
      actual  conditions or results may vary materially and adversely from those
      stated, anticipated, believed, estimated, and otherwise indicated.


LIQUIDITY AND CAPITAL RESOURCES
-------------------------------

      Net  proceeds  from the  Program's  operations  less  necessary  operating
      capital  are  distributed  to  investors  on a  quarterly  basis.  The net
      proceeds from production are not reinvested in productive  assets,  except
      to the extent  that  producing  wells are  improved  or where  methods are
      employed to permit more efficient recovery of the Program's reserves which
      would result in a positive economic impact.



                                       8
<PAGE>



      The Program's  available capital from  subscriptions has been spent on oil
      and gas  drilling  activities.  There  should not be any further  material
      capital  resource  commitments  in the  future.  The  Program  has no debt
      commitments. Cash for operational purposes will be provided by current oil
      and gas production.


RESULTS OF OPERATIONS
---------------------

      GENERAL DISCUSSION

      The following  general  discussion  should be read in conjunction with the
      analysis  of results of  operations  provided  below.  The most  important
      variable  affecting the Program's  revenues is the prices received for the
      sale  of  oil  and  gas.  Predicting  future  prices  is  very  difficult.
      Substantially  all of the  Program's  gas  reserves  are being sold on the
      "spot market".  Prices on the spot market are subject to wide seasonal and
      regional pricing  fluctuations due to the highly competitive nature of the
      spot market. Such spot market sales are generally short-term in nature and
      are dependent upon the obtaining of  transportation  services  provided by
      pipelines. In addition, crude oil prices are at or near their lowest level
      in the past  decade  due  primarily  to the  global  surplus of crude oil.
      Management is unable to predict whether future oil and gas prices will (i)
      stabilize, (ii) increase, or (iii) decrease.

      THREE  MONTHS  ENDED  SEPTEMBER  30, 1998 AS COMPARED TO THE THREE  MONTHS
      ENDED SEPTEMBER 30, 1997.

                                              Three Months Ended September 30,
                                              --------------------------------
                                                    1998             1997
                                                   -------         --------
      Oil and gas sales                            $89,127         $120,223
      Oil and gas production expenses              $25,958         $ 34,465
      Barrels produced                                 212              246
      Mcf produced                                  47,460           52,240
      Average price/Bbl                            $ 12.92         $  19.18
      Average price/Mcf                            $  1.82         $   2.21

      As shown in the table  above,  total oil and gas sales  decreased  $31,096
      (25.9%) for the three months ended  September  30, 1998 as compared to the
      three months ended  September  30, 1997. Of this  decrease,  approximately
      $19,000 was  related to a decrease  in the  average  price of gas sold and
      approximately  $11,000  was  related to a decrease  in the  volumes of gas
      sold.  Volumes of oil and gas sold  decreased  34  barrels  and 4,780 Mcf,
      respectively, for the three months ended September 30, 1998 as compared to
      the three months ended September 30, 1997. Average oil and gas prices



                                       9
<PAGE>



      decreased  to $12.92 per barrel and $1.82 per Mcf,  respectively,  for the
      three months ended September 30, 1998 from $19.18 per barrel and $2.21 per
      Mcf, respectively, for the three months ended September 30, 1997.

      Oil and gas production  expenses  (including lease operating  expenses and
      production  taxes)  decreased  $8,507  (24.7%) for the three  months ended
      September  30, 1998 as compared to the three  months ended  September  30,
      1997. This decrease  resulted  primarily from (i) a decrease in production
      taxes  associated with the decrease in oil and gas sales,  (ii) a decrease
      in lease operating expenses associated with the decrease in volumes of oil
      and gas sold,  and (iii) a decrease in  compression  expenses  and surface
      repair and  maintenance  expenses on one well for the three  months  ended
      September 30, 1998. As a percentage of oil and gas sales,  these  expenses
      remained relatively constant at 29.1% for the three months ended September
      30, 1998 and 28.7% for the three months ended September 30, 1997.

      Depreciation,  depletion,  and  amortization  of oil  and  gas  properties
      increased  $15,990  (106.5%) for the three months ended September 30, 1998
      as compared to the three months ended  September  30, 1997.  This increase
      resulted  primarily  from a  decrease  in oil and gas  prices  used in the
      valuation of reserves at September  30, 1998 as compared to September  30,
      1997.  As a percentage  of oil and gas sales,  this  expense  increased to
      34.8% for the three  months  ended  September  30, 1998 from 12.5% for the
      three  months  ended  September  30, 1997.  This  percentage  increase was
      primarily  due to the dollar  increase  in  depreciation,  depletion,  and
      amortization  and the decreases in the average  prices of oil and gas sold
      during the three months ended  September 30, 1998 as compared to the three
      months ended September 30, 1997.

      General and  administrative  expenses  decreased $993 (5.5%) for the three
      months  ended  September  30, 1998 as compared to the three  months  ended
      September 30, 1997. As a percentage of oil and gas sales,  these  expenses
      increased  to 19.3% for the three  months  ended  September  30, 1998 from
      15.1% for the three  months ended  September  30,  1997.  This  percentage
      increase was primarily due to the decrease in oil and gas sales.




                                       10
<PAGE>



      NINE MONTHS ENDED  SEPTEMBER 30, 1998 AS COMPARED TO THE NINE MONTHS ENDED
      SEPTEMBER 30, 1997.

                                               Nine Months Ended September 30,
                                               -------------------------------
                                                    1998             1997
                                                  --------         --------
      Oil and gas sales                           $314,253         $359,964
      Oil and gas production expenses             $ 73,033         $ 93,985
      Barrels produced                                 832              956
      Mcf produced                                 145,102          142,935
      Average price/Bbl                           $  13.75         $  20.85
      Average price/Mcf                           $   2.09         $   2.38

      As shown in the table  above,  total oil and gas sales  decreased  $45,711
      (12.7%) for the nine months  ended  September  30, 1998 as compared to the
      nine months ended  September  30, 1997.  Of this  decrease,  approximately
      $6,000 and $42,000, respectively, were related to decreases in the average
      prices of oil and gas sold,  which  decreases were partially  offset by an
      increase of approximately  $5,000 related to an increase in the volumes of
      gas sold. Volumes of oil sold decreased 124 barrels,  while volumes of gas
      sold increased  2,167 Mcf for the nine months ended  September 30, 1998 as
      compared to the nine months ended September 30, 1997.  Average oil and gas
      prices decreased to $13.75 per barrel and $2.09 per Mcf, respectively, for
      the nine months ended  September 30, 1998 from $20.85 per barrel and $2.38
      per Mcf, respectively, for the nine months ended September 30, 1997.

      Oil and gas production  expenses  (including lease operating  expenses and
      production  taxes)  decreased  $20,952  (22.3%) for the nine months  ended
      September  30, 1998 as compared to the nine  months  ended  September  30,
      1997. This decrease resulted primarily from (i) workover expenses incurred
      on one well during the nine months  ended  September  30, 1997 in order to
      improve the recovery of reserves and (ii) a decrease in  production  taxes
      associated  with the decrease in oil and gas sales. As a percentage of oil
      and gas sales, these expenses decreased to 23.2% for the nine months ended
      September  30, 1998 from 26.1% for the nine  months  ended  September  30,
      1997. This percentage  decrease was primarily due to the workover expenses
      incurred during the nine months ended September 30, 1997, partially offset
      by the decreases in the average prices of oil and gas sold.

      Depreciation,  depletion,  and  amortization  of oil and gas  properties
      increased $23,021 (41.2%) for the nine months



                                       11
<PAGE>



      ended  September  30, 1998 as compared to the nine months ended  September
      30, 1997. This increase  resulted  primarily from a decrease in the prices
      used to value oil and gas  reserves at  September  30, 1998 as compared to
      September  30, 1997.  As a percentage  of oil and gas sales,  this expense
      increased to 25.1% for the nine months ended September 30, 1998 from 15.5%
      for the nine months ended September 30, 1997. This percentage increase was
      primarily due to the  decreases in the average  prices of oil and gas sold
      during the nine months  ended  September  30, 1998 as compared to the nine
      months ended September 30, 1997 and the dollar  increase in  depreciation,
      depletion, and amortization.

      General and  administrative  expenses decreased $4,006 (6.4%) for the nine
      months  ended  September  30, 1998 as  compared  to the nine months  ended
      September 30, 1997. As a percentage of oil and gas sales,  these  expenses
      increased to 18.7% for the nine months ended September 30, 1998 from 17.4%
      for the nine months ended September 30, 1997.




                                       12
<PAGE>



                          PART II. OTHER INFORMATION

ITEM 6.  EXHIBITS AND REPORTS ON FORM 8-K

      (a)    Exhibits

               27.1     Financial  Data Schedule  containing  summary  financial
                        information  extracted from the Dyco Oil and Gas Program
                        1984-1 Limited Partnership's  financial statements as of
                        September  30,  1998  and  for  the  nine  months  ended
                        September 30, 1998, filed herewith.

                        All other exhibits are omitted as inapplicable.

      (b) Reports on Form 8-K.

            None.





                                       13
<PAGE>



                                  SIGNATURES

Pursuant  to the  requirements  of the  Securities  Exchange  Act of  1934,  the
Registrant  has duly  caused  this  report  to be  signed  on its  behalf by the
undersigned, thereunto duly authorized.


                              DYCO OIL AND GAS PROGRAM 1984-1 LIMITED
                              PARTNERSHIP

                                    (Registrant)

                                    BY:   DYCO PETROLEUM CORPORATION

                                          General Partner


Date:  October 30, 1998             By:         /s/Dennis R. Neill
                                       -------------------------------
                                              (Signature)
                                              Dennis R. Neill
                                              President


Date:  October 30, 1998             By:         /s/Patrick M. Hall
                                       -------------------------------
                                              (Signature)
                                              Patrick M. Hall
                                              Chief Financial Officer



                                       14
<PAGE>



                              INDEX TO EXHIBITS


NUMBER      DESCRIPTION
------      -----------

 27.1       Financial Data Schedule  containing  summary  financial  information
            extracted   from  the  Dyco  Oil  and  Gas  Program  1984-1  Limited
            Partnership's  financial statements as of September 30, 1998 and for
            the nine
            months ended September 30, 1998, filed herewith.

            All other exhibits are omitted as inapplicable.