A234878 Number of (n+1) X (4+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

268, 628, 1116, 3336, 6364, 22748, 44540, 178572, 353428, 1512256, 3007252, 13311628, 26527148, 119439828, 238241724, 1081829832, 2158800908, 9844644828, 19648912012, 89797542908, 179243095124, 820073869984, 1637003801252

Offset

1,1

Comments

Column 4 of A234882.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +27*a(n-2) -55*a(n-3) -290*a(n-4) +607*a(n-5) +1617*a(n-6) -3524*a(n-7) -5091*a(n-8) +11799*a(n-9) +9192*a(n-10) -23475*a(n-11) -9214*a(n-12) +27620*a(n-13) +4652*a(n-14) -18518*a(n-15) -912*a(n-16) +6476*a(n-17) -912*a(n-19).

Example

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

Crossrefs

Column 4 of A234882.

Sequence in context: A244194 A096613 A304388 * A194774 A279184 A237228

Adjacent sequences: A234875 A234876 A234877 * A234879 A234880 A234881

Keyword

nonn

Author

R. H. Hardin, Jan 01 2014

Status

approved