Conference program
Sunday, June 24  Arrival Day
16:0020:00

Conference registration at Hotel Eger (Szálloda str. 1)

Monday, June 25  First Day of the Conference
8:309:15

Conference registration, pick up packets and say hello

9:159:30

Welcome and Announcements

9:3012:00

Monday Morning Session

9:309:50

C. Cooper: Identities in the spirit of Ramanujan's amazing identity

9:5010:10

C. K. Cook, M. R. Bacon:

10:1010:30

moderated by William Webb

Some identities for Jacobsthaland Jacobsthal-Lucas Numbers and higher order Jacobsthal andJacobsthal-Lucas Numbers
A. G. Shannon, C. K. Cook: Some aspects of Fibonacci polynomial
congruences

10:3011:00

Refreshment Break

11:0011:20

A. Bagdasaryan: Several identities and congruences for Bernoulli

11:2011:40
11:4012:00

numbers and polynomials
L. Somer, M. K°íºek: Power digraphs modulo n are symmetric oforder M if and only if M is square free
L. Szalay: Diophantine equations with binary recurrences associatedto Brocard-Ramanujan problem

12:0014:00

Lunch Break

14:0017:10

Monday Afternoon Session

14:0014:20

H. Belbachir, A. Belkhir: Tiling approach to obtain identities for

14:2014:40
14:4015:00
15:0015:20
15:2015:50

moderated by Peter Anderson

Fibonacci and Lucas numbers
B. Balof: Restricted tilings, coordination sequences and bijections
A. O. Munagi: Primary classes of compositions of numbers
F. Mátyás: The contribution of Professor Péter Kiss to the theoryof linear recurrences
Refreshment Break1

15:5016:10

16:1016:30
16:3016:50
16:5017:10

19:00

J. C. Turner, W. J. Rogers: A representation of the natural num-bers by means of cycle-numbers, with some consequences in numbertheory
J. Siurys: A linear recurrence sequence of composite numbers
E. Kiliç: Generalizing two curious divisibility properties
E. Kiliç, T. Arkan: Some further results on the sums of reciprocalsof terms of a order-k recurring sequence
Evening program  Wine and cheese reception2

Tuesday, June 26  Second Day of the Conference
9:0011:50

Tuesday Morning Session

9:009:20

W. Webb: Recurrence equations which depend on congruence con-

9:209:40

T. Komatsu, F. Luca:

9:4010:00
10:0010:20

moderated by Andrej Dujelladitions

Some relationships between poly-Cauchy
numbers and poly-Bernoulli numbers
P. T. Young: On the roots of the degenerate Bernoulli numbers
R. Keskn, O. Karaatl: Integral points on the elliptic curves 10y 2 =5x3 − 3x − 2 and 10y 2 = 5x3 + 3x − 8

10:2010:50

Refreshment Break

10:5011:10

M. Bicknell-Johnson, C. P. Spears: The golden ratio in classical

11:1011:30
11:3011:50

maya architecture
H. Harborth: On h-perfect numbers
G. Nyul: Stirling numbers of the second kind and Bell numbers forgraphs

11:5012:00

Conference photo

12:0013:30

Lunch Break

13:3016:40

Tuesday Afternoon Session

13:3013:50

A. Dujella: On Hall's conjecture and related polynomial Pell's equa-

13:5014:10

V. Petri£evi¢: Householder's approximants and continued fraction

moderated by Marjorie Bicknell-Johnsontion

14:3014:50

expansion of quadratic irrationals
A. Dujella, T. Pejkovi¢: Root separation for reducible monic quartics
K. Ozeki: On Aczél-Haruki functional equations

14:5015:20

Refreshment Break

15:2015:40

C. Mongoven: Musical composition with multiple Fibonacci-related

15:4016:00

N. Irmak, L. Szalay: On k -periodic linear recurrences

16:0016:20

T. Lengyel: On divisibility properties of some dierences of Motzkin

16:2016:40

C. Kimberling: Fusion, Fission and Factors

14:1014:30

sequences

numbers3

Wednesday, June 27  Third Day of the Conference
9:0012:50

Wednesday Morning Session

9:0010:00

N. J. A. Sloane: The On-Line Encyclopedia of Integer Sequences(Edouard Lucas Invited Lecture)

10:0010:30

Refreshment Break

10:3010:50

P. G. Anderson, L. Ericksen: (p, k)-Pell Zeckendorf arrays, I: dif-

10:5011:10

L. Ericksen, P. G. Anderson: (p, k)-Pell Zeckendorf arrays, II: con-Moderated by László Szalay

ference patterns

11:3011:50

gruence residues, periodicities and Beatty sequences
A. Bege, Z. Kátai: Sierpinski-like triangle-patterns in Fibonomial
triangles
C. Ballot: More on Lucas sequences and cousin sequences

11:5014:00

Lunch Break

14:0015:30

Wednesday Afternoon: Problem Session

17:00

Sightseeing

19:00

Conference dinner in the castle

11:1011:30

moderated by Clark Kimberling

4Thursday, June 28  Fourth Day of the Conference
9:0011:40

Thursday Morning Session

9:009:30

A. Bérczes: Arithmetic and geometric progressions in the solution
set of Diophantine equations (invited speaker)

9:309:50

S. D. Alvarado, A. Dujella, F. Luca: Balancing with Fibonacci num-

9:5010:10

J. J. Bravo, F. Luca:

10:1010:40

Refreshment Break

10:4011:00

K. Broughan, S. Guzman, F. Luca: Perfect repdigits

11:0011:20

M. C. Firengiz, D. Tasci, N. Tuglu: Some identities for Fibonacci
and incomplete Fibonacci p-numbers via symmetric and Euler-

moderated by Pante St nicbers

quences

Coincidences in generalized Fibonacci se-

Siedel algorithms
11:2011:40

J. J. Alba, F. Luca: On the positive integers n satisfying the equation Fn = x2 + ny2

11:4013:30

Lunch Break

13:3014:50

Thursday Early Afternoon Session

13:3013:50

F. Luca, P. St nic , A. Yalçiner: When do the Fibonacci invertibleclasses modulo M form a subgroup?

13:5014:10

L. Hajdu, T. Kovács, A. Peth®, M. Pohst:

14:1014:30

T. Kurosawa, Y. Tachiya, T. Tanaka: Algebraic relations with themoderated by Florian Luca

problem for lattices

On an optimization

14:3014:50

innite products generated by Fibonacci numbers
F. Luca, Y. Tachiya: Arithmetical properties of innite products
generated by Fibonacci and Lucas numbers

14:5015:20

Refreshment Break

15:2017:00

Thursday Late Afternoon Session  Section A

15:2015:40

P. Sªanina: Generalizations of Fibonacci polynomials and free linear

15:4016:00

F. Luca, V. J. Mejía: On perfect numbers which are ratios of two

moderated by Ákos Pintérgroups

Fibonacci numbers

5

16:0016:20
16:2016:40
16:4017:00

Gy. Péter, T. Kovács, N. Varga:

On some polynomial values ofrepdigit numbers
I. Pink: On the Diophantine equation x2 + d2l+1 = y n
M. Szikszai, L. Hajdu: On the GCD-s of consecutive terms of elliptic divisibility sequences

15:2017:00

Thursday Late Afternoon Session  Section B

15:2015:40

Z. Cerin: Identities for Fibonacci polynomials

15:4016:00

Some application of Ma,
Cauchy and Ferrers-Jackson polynomials
R. Wituªa, E. Hetmaniok, D. Sªota: Sums of the powers of any
order roots taken from the roots of a given polynomial
R. Wituªa, D. Sªota, E. Hetmaniok: Bridges between dierent
known integer sequences
R. Wituªa, E. Hetmaniok, K. Kaczmarek: Jordan numbers, Stirlingnumbers and sums of the powers of consecutive positive integers

16:0016:20
16:2016:40
16:4017:00

moderated by Emrah Kilic

R. Wituªa, E. Hetmaniok, D. Sªota:

6

Friday, June 29  Fifth Day of the Conference
9:0011:50

Friday Morning Session

9:009:20

C. N. Phadte, S. P. Pethe: On sequences satisfying second ordermoderated by Curtis Cooper

10:0010:20

non-homogeneous recurrence relations
A. Dil: Transformation formulas and Fibonacci numbers
A. Egri-Nagy: On transformation semigroups associated to Fibonacci words
D. Terr: Fibonacci-Pythagorean triple families

10:2010:50

Refreshment Break

10:5011:10

A. Bagdasaryan: Compositions, partitions, their generating func-

9:209:40
9:4010:00

11:3011:50

tions and applications
C. Pita: Sums of powers of Fibonacci and Lucas polynomials interms of Fibopolynomials
T. Barrale, R. Hendel, M. Sluys: The Tojaaldi sequence conjectures

11:5013:30

Lunch Break

13:3016:20

Friday Afternoon Session

13:3013:50

M. Cenkci:

13:5014:10

G. Gelatti: The Phi quadratic formula, the golden gnomon of 1/4,

11:1011:30

moderated by Hacène Belbachir

numbers

Some convolution identities for Bernoulli and Euler

14:3014:50

and cubic identities in Fibonacci-Lucas numbers
P. Olajos: About balancing numbers
T. Szakács: Multiplying balancing numbers

14:5015:20

Refreshment Break

15:2015:40

A. Bazsó, D. Kreso, F. Luca, Á. Pintér: On diophantine equations

14:1014:30

15:4016:00
16:0016:20

involving power sums and products of consecutive terms in arithmetic progression
T. Juhász: Group algebras and Russian roulette
K. Liptai: Survey on balancing numbers

7Saturday, June 30
9:00

Excursion to Szilvásvárad8