A235072 Number of (n+1) X (1+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

288, 1828, 11976, 79848, 534008, 3577048, 23966856, 160608008, 1076281720, 7212695512, 48335145928, 323918665128, 2170711158968, 14547055076472, 97485766228616, 653302411496072, 4378046742831096, 29339549842789400

Offset

1,1

Links

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

Formula

Empirical: a(n) = 61*a(n-2) -813*a(n-4) +4271*a(n-6) -9694*a(n-8) +8264*a(n-10) -1536*a(n-12).

Example

Some solutions for n=4:
  0 2   0 5   2 3   1 3   4 3   3 5   2 3   3 1   2 7   6 7
  2 1   1 3   3 7   7 6   3 5   5 4   7 5   6 7   3 5   2 0
  5 7   7 6   4 5   2 4   1 0   6 2   2 3   0 4   7 6   0 1
  6 5   0 2   6 4   1 6   3 5   5 4   3 1   5 6   0 2   4 2
  2 4   1 0   1 2   2 4   4 3   1 3   1 2   3 7   7 6   5 6

Crossrefs

Column 1 of A235078.

Sequence in context: A128392 A296784 A235078 * A235769 A049230 A322677

Adjacent sequences: A235069 A235070 A235071 * A235073 A235074 A235075

Keyword

nonn

Author

R. H. Hardin, Jan 03 2014

Status

approved