A235287 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 4 (constant-stress 1 X 1 tilings).

472, 572, 680, 908, 1168, 1724, 2408, 3884, 5872, 10172, 16520, 30188, 52048, 98684, 178088, 345644, 644272, 1267772, 2415560, 4789868, 9261328, 18440444, 36008168, 71852204, 141250672, 282173372, 557313800, 1113971948, 2207501008, 4413691004

Offset

1,1

Comments

Column 6 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:
  2 0 2 0 2 0 2     0 3 0 2 0 2 0     2 0 1 0 3 0 3
  1 3 1 3 1 3 1     3 2 3 1 3 1 3     1 3 0 3 2 3 2
  2 0 2 0 2 0 2     0 3 0 2 0 2 0     2 0 1 0 3 0 3
  0 2 0 2 0 2 0     2 1 2 0 2 0 2     1 3 0 3 2 3 2
  2 0 2 0 2 0 2     0 3 0 2 0 2 0     2 0 1 0 3 0 3

Crossrefs

Cf. A235289.

Sequence in context: A034284 A345545 A345798 * A260102 A260135 A259640

Adjacent sequences: A235284 A235285 A235286 * A235288 A235289 A235290

Keyword

nonn

Author

R. H. Hardin, Jan 05 2014

Status

approved