A235277 Number of (n+1) X (7+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings).

6208, 8012, 10088, 14672, 20440, 33464, 51800, 93992, 160888, 317192, 593048, 1246472, 2502520, 5518664, 11691800, 26719112, 58853368, 138080072, 312608408, 747636872, 1725115000, 4182997064, 9778136600, 23940964232, 56457574648

Offset

1,1

Comments

Column 7 of A235280.

Links

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

Formula

Empirical: a(n) = a(n-1) +15*a(n-2) -15*a(n-3) -80*a(n-4) +80*a(n-5) +180*a(n-6) -180*a(n-7) -144*a(n-8) +144*a(n-9).

Example

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

Crossrefs

Sequence in context: A186602 A031836 A094494 * A246889 A172629 A172697

Adjacent sequences: A235274 A235275 A235276 * A235278 A235279 A235280

Keyword

nonn

Author

R. H. Hardin, Jan 05 2014

Status

approved