A234556 Number of (n+1) X (n+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).

70, 546, 2390, 11982, 42982, 187686, 635654, 2614518, 8740870, 34959606, 117588230, 464375382, 1585487302

Offset

1,1

Links

Table of n, a(n) for n=1..13.

Example

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

Crossrefs

Diagonal of A234564.

Sequence in context: A060541 A235302 A229576 * A183715 A104475 A169712

Adjacent sequences: A234553 A234554 A234555 * A234557 A234558 A234559

Keyword

nonn

Author

R. H. Hardin, Dec 28 2013

Status

approved