A235300 Number of (n+1) X (10+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).

274368, 290932, 312416, 356632, 420816, 553552, 768272, 1215520, 2006448, 3677632, 6842576, 13717312, 27477936, 58786432, 124676432, 284666560, 637793328, 1561224832, 3686729936, 9636217792, 23776468656, 65447331712

Offset

1,1

Comments

Column 10 of A235301.

Links

R. H. Hardin, Table of n, a(n) for n = 1..23

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

Crossrefs

Sequence in context: A128479 A098786 A351332 * A256364 A250509 A164520

Adjacent sequences: A235297 A235298 A235299 * A235301 A235302 A235303

Keyword

nonn

Author

R. H. Hardin, Jan 05 2014

Status

approved