A235298 Number of (n+1) X (8+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).

37536, 42100, 48128, 60856, 79728, 120112, 187184, 333952, 603216, 1215520, 2436848, 5377696, 11665488, 27888352, 64536944, 165624352, 403225296, 1094345440, 2761046768, 7789147936, 20102042448, 58106855392, 151988104304

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..46

Formula

Empirical: a(n) = 3*a(n-1) +17*a(n-2) -57*a(n-3) -86*a(n-4) +372*a(n-5) +76*a(n-6) -972*a(n-7) +360*a(n-8) +864*a(n-9) -576*a(n-10).

Example

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

Crossrefs

Column 8 of A235301.

Sequence in context: A022245 A236744 A165284 * A233662 A284080 A092682

Adjacent sequences: A235295 A235296 A235297 * A235299 A235300 A235301

Keyword

nonn

Author

R. H. Hardin, Jan 05 2014

Status

approved