A235296 Number of (n+1) X (6+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).

5232, 6532, 8336, 12328, 18624, 32992, 58688, 120112, 242592, 553552, 1227776, 3051088, 7238304, 19190032, 47635328, 132106192, 337361952, 963161872, 2501628416, 7271370448, 19074247584, 56053357072, 147902269568, 437595857872

Offset

1,1

Comments

Column 6 of A235301.

Links

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

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:
  0 0 3 3 0 3 0      2 3 2 2 1 2 1      1 2 1 2 1 3 1
  3 0 0 3 3 3 3      3 1 3 0 2 0 2      3 1 3 1 3 2 3
  3 3 0 0 3 0 3      2 3 2 2 1 2 1      0 1 0 1 0 2 0
  0 3 3 0 0 0 0      3 1 3 0 2 0 2      2 0 2 0 2 1 2
  3 3 0 0 3 0 3      1 2 1 1 0 1 0      1 2 1 2 1 3 1
  3 0 0 3 3 3 3      3 1 3 0 2 0 2      3 1 3 1 3 2 3

Crossrefs

Sequence in context: A067224 A204139 A237408 * A260176 A093182 A124658

Adjacent sequences: A235293 A235294 A235295 * A235297 A235298 A235299

Keyword

nonn

Author

R. H. Hardin, Jan 05 2014

Status

approved