A234476 Number of (n+1) X (1+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings).

672, 7840, 95872, 1200640, 15217152, 194145280, 2484815872, 31866634240, 408975286272, 5252589690880, 67463932444672, 866817120010240, 11135790843297792, 143096049577492480, 1838434738592284672

Offset

1,1

Links

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

Formula

Empirical: a(n) = 224*a(n-2) -10304*a(n-4) +96256*a(n-6) -80640*a(n-8).

Example

Some solutions for n=3:
  4 5   3 1   5 3   4 4   6 6   7 6   2 2   1 0   1 3   3 2
  1 3   7 4   1 0   2 3   0 1   1 1   6 7   2 0   5 6   5 3
  3 6   5 3   1 1   3 5   2 2   4 5   3 5   1 0   3 3   1 0
  1 3   6 5   5 4   6 7   4 5   2 2   5 6   3 1   0 1   5 3

Crossrefs

Column 1 of A234481.

Sequence in context: A245786 A321116 A234481 * A340864 A331666 A245782

Adjacent sequences: A234473 A234474 A234475 * A234477 A234478 A234479

Keyword

nonn

Author

R. H. Hardin, Dec 26 2013

Status

approved