Buggy python submission (verdict: Time Limit Exceeded):
import sys
N = int(sys.stdin.readline())
for n in range(1,N+1):
  if n < 6:
    x,y,z = 0,0,0
  else:
    x = int((n / 6)**0.5)
    y = int(round((((n -1)/3) - 1/9)**0.5 - 1/3 + 0.5,0))
    z = int((n - 5)**0.5 + 1)
  ans = 0
  for i in range(1,x+1):
    for j in range(i,y+1):
      if i % 2 == j % 2:
        d = 2
        if n % 2 == 0:
          c = 0
        else:
          c = 1
      else:
        d = 1
        if n % 2 == 0:
          c = 10000
        else:
          c = 0    
      for k in range(j + c, z+1, d):
        p = (i + j + k)**2 - i*(j + k) - j*k
        if n < p:
          break
        if n == p:
          if i == j:
            if j == k:
              ans += 1
            else:
              ans += 3
          else:
            if i == k:
              ans += 3
            else:
              if j == k:
                ans += 3
              else:
                ans += 6
  print(ans)

Fixed submission:
import sys
N = int(sys.stdin.readline())
if N < 6:
  x, y, z = 0, 0, 0
else:
  x = int((N / 6)**0.5)
  y = int(round(((((N -1)/3) - 1/9)**0.5 - 1/3)+ 0.5, 0))
  z = int((N - 5)**0.5 + 1)            
n = [0]*(N+1)
for i in range(1,x+1):
  for j in range(i,y+1):
    for k in range(j, z+1):
      p = int((i + j + k)**2 - i*(j + k) - j*k)
      if N < p:
        break
      if i == j:
        if j == k:
          n[p] += 1
        else:
          n[p] += 3
      else:
        if i == k:
          n[p] += 3
        else:
          if j == k:
            n[p] += 3
          else:
            n[p] += 6
for i in range(1,N+1):
  print(n[i])

Buggy python submission (verdict: Time Limit Exceeded):
import sys
N = int(sys.stdin.readline())
for n in range(1,N+1):
  if n < 6:
    x,y,z = 0,0,0
  else:
    x = int((n / 6)**0.5)
    y = int((((n -1)/3) - 1/9)**0.5 - 1/3 + 1)
    z = int((n - 5)**0.5 + 1)
  ans = 0
  for i in range(1,x+1):
    for j in range(i,y+1):
      if i % 2 == j % 2:
        d = 2
        if n % 2 == 0:
          c = 0
        else:
          c = 1
      else:
        d = 1
        if n % 2 == 0:
          c = 10000
        else:
          c = 0    
      for k in range(j + c, z+1, d):
        p = (i + j + k)**2 - i*(j + k) - j*k
        if n < p:
          break
        if n == p:
          if i == j:
            if j == k:
              ans += 1
            else:
              ans += 3
          else:
            if i == k:
              ans += 3
            else:
              if j == k:
                ans += 3
              else:
                ans += 6
  print(ans)

Fixed submission:
import sys
N = int(sys.stdin.readline())
if N < 6:
  x, y, z = 0, 0, 0
else:
  x = int((N / 6)**0.5)
  y = int(round(((((N -1)/3) - 1/9)**0.5 - 1/3)+ 0.5, 0))
  z = int((N - 5)**0.5 + 1)            
n = [0]*(N+1)
for i in range(1,x+1):
  for j in range(i,y+1):
    for k in range(j, z+1):
      p = int((i + j + k)**2 - i*(j + k) - j*k)
      if N < p:
        break
      if i == j:
        if j == k:
          n[p] += 1
        else:
          n[p] += 3
      else:
        if i == k:
          n[p] += 3
        else:
          if j == k:
            n[p] += 3
          else:
            n[p] += 6
for i in range(1,N+1):
  print(n[i])

Buggy python submission (verdict: Runtime Error):
import sys
N = int(sys.stdin.readline())
x = int((N / 6)**0.5)
y = int((((N -1)/3) - 1/9)**0.5 - 1/3)
z = int((N - 5)**0.5 + 1)
for n in range(1,N+1):
  ans = 0
  for i in range(1,x+1):
    for j in range(i,y+1):
      if i % 2 == j % 2:
        d = 2
        if n % 2 == 0:
          c = 0
        else:
          c = 1
      else:
        d = 1
        if n % 2 == 0:
          c = 10000
        else:
          c = 0    
      for k in range(j + c, z+1, d):
        p = (i + j + k)**2 - i*(j + k) - j*k
        if n < p:
          break
        if n == p:
          if i == j:
            if j == k:
              ans += 1
            else:
              ans += 3
          else:
            if i == k:
              ans += 3
            else:
              if j == k:
                ans += 3
              else:
                ans += 6
  print(ans)

Fixed submission:
import sys
N = int(sys.stdin.readline())
if N < 6:
  x, y, z = 0, 0, 0
else:
  x = int((N / 6)**0.5)
  y = int(round(((((N -1)/3) - 1/9)**0.5 - 1/3)+ 0.5, 0))
  z = int((N - 5)**0.5 + 1)            
n = [0]*(N+1)
for i in range(1,x+1):
  for j in range(i,y+1):
    for k in range(j, z+1):
      p = int((i + j + k)**2 - i*(j + k) - j*k)
      if N < p:
        break
      if i == j:
        if j == k:
          n[p] += 1
        else:
          n[p] += 3
      else:
        if i == k:
          n[p] += 3
        else:
          if j == k:
            n[p] += 3
          else:
            n[p] += 6
for i in range(1,N+1):
  print(n[i])

Buggy python submission (verdict: Runtime Error):
import sys
N = int(sys.stdin.readline())
x = int((N / 6)**0.5)
y = int((N - 5)**0.5 + 1)
for n in range(1,N+1):
  ans = 0
  for i in range(1,x+1):
    for j in range(i,x+1):
      for k in range(j,y+1):
        if n == (i + j + k)**2 - i*(j + k) - j*k:
          if i == j:
            if j == k:
              ans += 1
            else:
              ans += 3
          else:
            if i == k:
              ans += 3
            else:
              if j == k:
                ans += 3
              else:
                ans += 6
  print(ans)

Fixed submission:
import sys
N = int(sys.stdin.readline())
if N < 6:
  x, y, z = 0, 0, 0
else:
  x = int((N / 6)**0.5)
  y = int(round(((((N -1)/3) - 1/9)**0.5 - 1/3)+ 0.5, 0))
  z = int((N - 5)**0.5 + 1)            
n = [0]*(N+1)
for i in range(1,x+1):
  for j in range(i,y+1):
    for k in range(j, z+1):
      p = int((i + j + k)**2 - i*(j + k) - j*k)
      if N < p:
        break
      if i == j:
        if j == k:
          n[p] += 1
        else:
          n[p] += 3
      else:
        if i == k:
          n[p] += 3
        else:
          if j == k:
            n[p] += 3
          else:
            n[p] += 6
for i in range(1,N+1):
  print(n[i])