A235064 Number of (n+1) X (1+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

168, 848, 4352, 22576, 117232, 609412, 3167392, 16467664, 85596352, 445030452, 2313215088, 12026817096, 62514004752, 325021440292, 1689424028512, 8783616241536, 45656226614400, 237374848616996, 1233847154123504

Offset

1,1

Links

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

Formula

Empirical: a(n) = 35*a(n-2) -235*a(n-4) +543*a(n-6) -458*a(n-8) +96*a(n-10).

Example

Some solutions for n=5:
  1 6   3 4   0 2   4 6   0 4   3 5   5 0   0 1   4 3   0 1
  3 5   4 2   1 6   6 5   4 5   2 1   6 4   2 0   3 5   4 2
  4 3   5 0   0 2   4 6   6 4   0 2   4 5   3 4   4 3   2 3
  3 5   3 1   4 3   3 2   0 1   6 5   5 3   4 2   0 2   6 4
  4 3   1 2   0 2   4 6   4 2   2 4   1 2   2 3   1 0   1 2
  0 2   0 4   2 1   6 5   0 1   4 3   0 4   4 2   5 1   6 4

Crossrefs

Column 1 of A235071.

Sequence in context: A110285 A302887 A235071 * A070835 A112551 A303622

Adjacent sequences: A235061 A235062 A235063 * A235065 A235066 A235067

Keyword

nonn

Author

R. H. Hardin, Jan 03 2014

Status

approved