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A234659 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 4 (constant-stress 1 X 1 tilings). 1
298, 1820, 11112, 68086, 417050, 2564388, 15760606, 97264082, 599847168, 3715680490, 22995724082, 142980376236, 887988916630, 5541920176778, 34537856122656, 216342520763602, 1352830192028858, 8504211973522620 (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) = 11*a(n-1) + 17*a(n-2) - 492*a(n-3) + 1050*a(n-4) + 1260*a(n-5).

Empirical g.f.: 2*x*(149 - 729*x - 6987*x^2 + 30765*x^3 + 30870*x^4) / ((1 - 6*x)*(1 - 5*x - 5*x^2)*(1 - 42*x^2)). - Colin Barker, Oct 16 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Column 1 of A234665.

Sequence in context: A200218 A284156 A234665 * A186126 A129037 A249296

Adjacent sequences: A234656 A234657 A234658 * A234660 A234661 A234662

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 29 2013

STATUS

approved

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Last modified November 28 05:56 EST 2022. Contains 358407 sequences. (Running on oeis4.)