A234676 Number of (n+1) X (3+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).

1264, 2924, 6328, 17312, 43240, 129848, 354856, 1129256, 3265864, 10806344, 32397928, 110161352, 338146120, 1172415368, 3657091816, 12860973896, 40576496584, 144194315144, 458737409128, 1642863057992, 5259197091400

Offset

1,1

Links

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

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:
  5 2 4 1     0 1 0 3     1 4 2 5     5 5 5 5     0 3 0 1
  3 5 2 4     5 1 5 3     2 0 3 1     5 0 5 0     4 2 4 0
  4 1 3 0     2 3 2 5     1 4 2 5     3 3 3 3     0 3 0 1
  2 4 1 3     5 1 5 3     2 0 3 1     0 5 0 5     4 2 4 0
  4 1 3 0     0 1 0 3     1 4 2 5     2 2 2 2     1 4 1 2
  2 4 1 3     5 1 5 3     3 1 4 2     5 0 5 0     4 2 4 0

Crossrefs

Column 3 of A234681.

Sequence in context: A252506 A205762 A331824 * A237327 A233887 A234147

Adjacent sequences: A234673 A234674 A234675 * A234677 A234678 A234679

Keyword

nonn

Author

R. H. Hardin, Dec 29 2013

Status

approved