A235299 Number of (n+1) X (9+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).

96640, 104988, 115952, 138744, 172288, 242592, 358016, 603216, 1044640, 2006448, 3872192, 8117424, 16889248, 38126832, 84508736, 205202736, 481284640, 1249786608, 3069367232, 8404486704, 21326389408, 60552997872, 156864001856

Offset

1,1

Comments

Column 9 of A235301.

Links

R. H. Hardin, Table of n, a(n) for n = 1..25

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

Crossrefs

Sequence in context: A224569 A224570 A224577 * A186013 A102868 A253618

Adjacent sequences: A235296 A235297 A235298 * A235300 A235301 A235302

Keyword

nonn

Author

R. H. Hardin, Jan 05 2014

Status

approved