A234436 Number of (n+1) X (1+1) 0..2 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings).

32, 120, 448, 1680, 6272, 23520, 87808, 329280, 1229312, 4609920, 17210368, 64538880, 240945152, 903544320, 3373232128, 12649620480, 47225249792, 177094686720, 661153497088, 2479325614080, 9256148959232, 34710558597120

Offset

1,1

Comments

Column 1 of A234443.

Links

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

Formula

Empirical: a(n) = 14*a(n-2).

Example

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

Crossrefs

Column 1 of A234443.

Sequence in context: A231527 A298201 A234443 * A297461 A297698 A223314

Adjacent sequences: A234433 A234434 A234435 * A234437 A234438 A234439

Keyword

nonn

Author

R. H. Hardin, Dec 26 2013

Status

approved