A235297 Number of (n+1) X (7+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).

13376, 15692, 18832, 25592, 35936, 58688, 97888, 187184, 358016, 768272, 1623712, 3817232, 8702336, 22073168, 53248288, 143248784, 359277056, 1006831952, 2588024992, 7443849872, 19416695936, 56737632848, 149263917088, 440317917584

Offset

1,1

Comments

Column 7 of A235301.

Links

R. H. Hardin, Table of n, a(n) for n = 1..110

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

Crossrefs

Sequence in context: A185503 A333014 A205196 * A252240 A220060 A207048

Adjacent sequences: A235294 A235295 A235296 * A235298 A235299 A235300

Keyword

nonn

Author

R. H. Hardin, Jan 05 2014

Status

approved