A234444 - OEIS

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A234444

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

160, 1120, 8064, 58720, 428800, 3137920, 22953984, 168075520, 1229731840, 9005086720, 65887739904, 482487224320, 3530236641280, 25851483627520, 189148815949824, 1385113412485120, 10134527552389120, 74213894381240320

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 60*a(n-2) - 344*a(n-4).

Empirical g.f.: 32*x*(5 + 35*x - 48*x^2 - 265*x^3) / (1 - 60*x^2 + 344*x^4). - Colin Barker, Oct 15 2018

EXAMPLE

Some solutions for n=4:

4 3 2 4 4 2 1 3 0 0 1 0 4 4 0 0 0 0 3 3

2 2 2 3 2 1 3 4 0 1 4 4 3 2 0 1 4 3 3 2

4 3 4 4 3 1 0 0 0 2 3 2 4 4 0 2 2 2 3 1

2 2 1 2 2 1 1 2 2 3 4 2 1 0 3 4 1 2 4 1

1 2 0 2 4 2 3 3 4 4 1 0 0 0 0 0 1 1 4 0

CROSSREFS

Column 1 of A234450.

Sequence in context: A234891 A305272 A234450 * A166778 A236518 A120103

Adjacent sequences: A234441 A234442 A234443 * A234445 A234446 A234447

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 26 2013

STATUS

approved