A235286 Number of (n+1) X (5+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).

236, 304, 380, 544, 740, 1168, 1724, 2944, 4676, 8464, 14300, 26944, 47780, 92368, 169724, 333184, 627716, 1243024, 2382620, 4740544, 9195620, 18341968, 35876924, 71655424, 140988356, 281779984, 556789340, 1113185344, 2206452260, 4412117968

Offset

1,1

Comments

Column 5 of A235289.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +3*a(n-2) -15*a(n-3) +4*a(n-4) +18*a(n-5) -12*a(n-6).

Example

Some solutions for n=4:
  3 1 2 1 3 0    0 2 0 2 1 2    0 3 0 2 0 3    3 1 2 0 2 0
  1 3 0 3 1 2    2 0 2 0 3 0    2 1 2 0 2 1    1 3 0 2 0 2
  3 1 2 1 3 0    1 3 1 3 2 3    0 3 0 2 0 3    3 1 2 0 2 0
  1 3 0 3 1 2    2 0 2 0 3 0    3 2 3 1 3 2    1 3 0 2 0 2
  3 1 2 1 3 0    1 3 1 3 2 3    0 3 0 2 0 3    3 1 2 0 2 0

Crossrefs

Sequence in context: A264325 A244007 A218054 * A138818 A138819 A273181

Adjacent sequences: A235283 A235284 A235285 * A235287 A235288 A235289

Keyword

nonn

Author

R. H. Hardin, Jan 05 2014

Status

approved