A234544 Number of (n+1) X (2+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).

1212, 6896, 39188, 222988, 1269812, 7237508, 41285540, 235717236, 1346930052, 7703391252, 44093945060, 252614282612, 1448426221700, 8312186475348, 47741148641380, 274441042958900, 1578929657150788, 9091864955315348

Offset

1,1

Links

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

Formula

Empirical: a(n) = 17*a(n-1) -30*a(n-2) -944*a(n-3) +5146*a(n-4) +8720*a(n-5) -112704*a(n-6) +148224*a(n-7) +392632*a(n-8) -632528*a(n-9) -548544*a(n-10) +867968*a(n-11) +341120*a(n-12) -478976*a(n-13) -76800*a(n-14) +92160*a(n-15).

Example

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

Crossrefs

Column 2 of A234549.

Sequence in context: A047627 A252213 A258727 * A047626 A204339 A204332

Adjacent sequences: A234541 A234542 A234543 * A234545 A234546 A234547

Keyword

nonn

Author

R. H. Hardin, Dec 28 2013

Status

approved