A234561 Number of (n+1) X (5+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).

5506, 8416, 12750, 23830, 42982, 94114, 195558, 479914, 1108726, 2964106, 7385190, 21074650, 55254742, 165527434, 448561158, 1392113914, 3852440566, 12264562666, 34393441830, 111531402970, 315410580502, 1036750071754, 2947674917958

Offset

1,1

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +30*a(n-2) -132*a(n-3) -331*a(n-4) +1720*a(n-5) +1530*a(n-6) -11280*a(n-7) -1324*a(n-8) +39136*a(n-9) -12360*a(n-10) -67968*a(n-11) +39456*a(n-12) +46080*a(n-13) -34560*a(n-14).

Example

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

Crossrefs

Column 5 of A234564.

Sequence in context: A045132 A096702 A252621 * A252511 A250876 A165443

Adjacent sequences: A234558 A234559 A234560 * A234562 A234563 A234564

Keyword

nonn

Author

R. H. Hardin, Dec 28 2013

Status

approved