A235251 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 7, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

184, 744, 2672, 10820, 39680, 161060, 600928, 2443916, 9247456, 37667316, 144145184, 587867372, 2270003552, 9266785652, 36041646880, 147245616428, 576021402208, 2354746576308, 9255402599456, 37854511615724, 149371395546464

Offset

1,1

Comments

Column 1 of A235258.

Links

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

Formula

Empirical: a(n) = 43*a(n-2) -617*a(n-4) +3073*a(n-6) -1762*a(n-8) +264*a(n-10).

Example

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

Crossrefs

Sequence in context: A351278 A239457 A235258 * A233676 A234152 A234146

Adjacent sequences: A235248 A235249 A235250 * A235252 A235253 A235254

Keyword

nonn

Author

R. H. Hardin, Jan 05 2014

Status

approved