A234678 Number of (n+1) X (5+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).

14368, 25292, 43240, 93680, 191128, 476648, 1109272, 3039128, 7775608, 22805432, 62414680, 192810680, 553489528, 1779951608, 5286609112, 17539418168, 53391783928, 181456023032, 562412044120, 1947069844280, 6115700862328

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..163

Formula

Empirical: a(n) = 4*a(n-1) +47*a(n-2) -200*a(n-3) -901*a(n-4) +4204*a(n-5) +8957*a(n-6) -48440*a(n-7) -47194*a(n-8) +334096*a(n-9) +101948*a(n-10) -1410080*a(n-11) +170136*a(n-12) +3549696*a(n-13) -1446912*a(n-14) -4861440*a(n-15) +2954880*a(n-16) +2764800*a(n-17) -2073600*a(n-18).

Example

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

Crossrefs

Column 5 of A234681.

Sequence in context: A049442 A228468 A296813 * A237788 A106725 A253266

Adjacent sequences: A234675 A234676 A234677 * A234679 A234680 A234681

Keyword

nonn

Author

R. H. Hardin, Dec 29 2013

Status

approved