A234891 - OEIS

A234891

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 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

160, 760, 3456, 16572, 76032, 365024, 1676576, 8050184, 36980544, 177566656, 815714624, 3916758000, 17993056384, 86395956032, 396891522944, 1905725225888, 8754648687872, 42036560942336, 193110382571776, 927244100524992

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OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 30*a(n-2) -194*a(n-4) +428*a(n-6) -288*a(n-8) +48*a(n-10).

EXAMPLE

Some solutions for n=5:

6 2 3 5 5 1 4 0 4 5 6 3 4 6 2 3 4 2 0 2

4 1 2 3 3 0 6 3 0 2 5 1 0 1 0 2 3 0 3 6

6 4 0 2 6 2 2 0 2 3 6 3 2 4 2 3 4 2 2 4

5 2 4 5 3 0 6 3 0 2 3 1 3 6 0 2 2 1 5 6

2 0 0 2 4 2 3 1 1 4 6 3 0 2 5 6 5 3 2 4

4 3 3 6 1 0 5 2 3 5 2 0 4 5 2 4 2 1 3 6

CROSSREFS

Column 1 of A234898.

Sequence in context: A234658 A234651 A234898 * A305272 A234450 A234444

Adjacent sequences: A234888 A234889 A234890 * A234892 A234893 A234894

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 01 2014

STATUS

approved