A234492 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 2 (constant-stress 1 X 1 tilings).

1834, 17022, 158288, 1483566, 13868952, 130537496, 1224977498, 11577801970, 109063132114, 1035175545192, 9789065497830, 93311908294380, 885819798218548, 8480241264665590, 80814542061692066, 776980355789433902

Offset

1,1

Links

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

Formula

Empirical: a(n) = 27*a(n-1) -7*a(n-2) -5642*a(n-3) +38876*a(n-4) +328643*a(n-5) -3991917*a(n-6) -1314423*a(n-7) +134764409*a(n-8) -274870060*a(n-9) -1754310602*a(n-10) +6188057089*a(n-11) +6383741530*a(n-12) -45869779722*a(n-13) +19646271368*a(n-14) +128555834088*a(n-15) -144208395792*a(n-16) -115200081792*a(n-17) +233207698368*a(n-18) -26459811072*a(n-19) -102846620160*a(n-20) +35034937344*a(n-21) +13514784768*a(n-22) -5918883840*a(n-23).

Example

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

Crossrefs

Column 2 of A234497.

Sequence in context: A186899 A185484 A133539 * A100970 A159202 A238294

Adjacent sequences: A234489 A234490 A234491 * A234493 A234494 A234495

Keyword

nonn

Author

R. H. Hardin, Dec 26 2013

Status

approved