A234543 Number of (n+1) X (1+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).

208, 1212, 7056, 41112, 239648, 1397712, 8156096, 47619552, 278172288, 1625861952, 9507847936, 55631928192, 325684361728, 1907717620992, 11180553624576, 65562717445632, 384665021523968, 2258145124856832

Offset

1,1

Links

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

Formula

Empirical: a(n) = 6*a(n-1) + 34*a(n-2) - 204*a(n-3) - 40*a(n-4) + 240*a(n-5).

Empirical g.f.: 4*x*(52 - 9*x - 1822*x^2 + 2160*x^4) / ((1 - 6*x)*(1 - 34*x^2 + 40*x^4)). - Colin Barker, Oct 15 2018

Example

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

Crossrefs

Column 1 of A234549.

Sequence in context: A255075 A304281 A234549 * A233665 A233659 A230934

Adjacent sequences: A234540 A234541 A234542 * A234544 A234545 A234546

Keyword

nonn

Author

R. H. Hardin, Dec 28 2013

Status

approved