A235304 Number of (n+1) X (2+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings).

210, 518, 1106, 2918, 6786, 18662, 46226, 130598, 338370, 973478, 2602706, 7582118, 20721666, 60895142, 169042706, 499829798, 1403453250, 4167788198, 11804391506, 35162436518, 100271311746, 299327750822, 858333411986, 2566154588198

Offset

1,1

Comments

Column 2 of A235310.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +25*a(n-2) -112*a(n-3) -231*a(n-4) +1260*a(n-5) +875*a(n-6) -7280*a(n-7) -224*a(n-8) +22736*a(n-9) -7980*a(n-10) -36288*a(n-11) +21456*a(n-12) +23040*a(n-13) -17280*a(n-14).

Example

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

Crossrefs

Sequence in context: A306508 A358988 A254466 * A121479 A235921 A236432

Adjacent sequences: A235301 A235302 A235303 * A235305 A235306 A235307

Keyword

nonn

Author

R. H. Hardin, Jan 05 2014

Status

approved