A234170 Number of (n+1) X (1+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings).

448, 4536, 47936, 517104, 5630848, 61624416, 675750656, 7420655424, 81506779648, 895774029696, 9842817944576, 108194841049344, 1188960811214848, 13069954464677376, 143629781032349696, 1578903606956196864

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 154*a(n-2) - 4144*a(n-4) + 16176*a(n-6).

Empirical g.f.: 8*x*(56 + 567*x - 2632*x^2 - 22680*x^3 + 13152*x^4 + 98448*x^5) / (1 - 154*x^2 + 4144*x^4 - 16176*x^6). - Colin Barker, Oct 13 2018

Example

Some solutions for n=3:
  1 0   3 3   3 3   4 4   5 3   3 0   6 6   2 3   3 3   3 3
  5 5   3 4   4 3   5 6   6 5   3 1   0 1   2 2   4 5   3 4
  4 5   1 1   2 0   2 2   4 4   5 2   6 6   3 2   1 1   2 2
  0 0   2 3   5 4   1 2   5 4   4 0   0 1   5 3   4 5   4 5

Crossrefs

Column 1 of A234175.

Sequence in context: A234428 A234424 A234175 * A120104 A229378 A229370

Adjacent sequences: A234167 A234168 A234169 * A234171 A234172 A234173

Keyword

nonn

Author

R. H. Hardin, Dec 20 2013

Status

approved