A234674 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 5 (constant-stress 1 X 1 tilings).

112, 404, 1264, 4568, 14368, 52016, 164416, 596192, 1892992, 6874304, 21915904, 79691648, 254990848, 928299776, 2979890176, 10859597312, 34958682112, 127515167744, 411504185344, 1502182012928, 4858050224128, 17746184155136

Offset

1,1

Links

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

Formula

Empirical: a(n) = 22*a(n-2) - 120*a(n-4).

Empirical g.f.: 4*x*(28 + 101*x - 300*x^2 - 1080*x^3) / ((1 - 10*x^2)*(1 - 12*x^2)). - Colin Barker, Oct 16 2018

Example

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

Crossrefs

Column 1 of A234681.

Sequence in context: A235312 A203916 A234681 * A217992 A221798 A340574

Adjacent sequences: A234671 A234672 A234673 * A234675 A234676 A234677

Keyword

nonn

Author

R. H. Hardin, Dec 29 2013

Status

approved