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A234483 Number of (n+1) X (1+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings). 1
62, 242, 944, 3686, 14402, 56312, 220334, 862706, 3380192, 13252982, 51996674, 204137576, 801957182, 3152502002, 12400248464, 48805735046, 192207885122, 757400598872, 2986264405454, 11780750826866, 46500068952512 (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) = 7*a(n-1) - 9*a(n-2) - 12*a(n-3).

Empirical g.f.: 2*x*(31 - 96*x - 96*x^2) / ((1 - 4*x)*(1 - 3*x - 3*x^2)). - Colin Barker, Oct 15 2018

EXAMPLE

Some solutions for n=5:

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

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

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

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

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

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

CROSSREFS

Column 1 of A234490.

Sequence in context: A230007 A318561 A234490 * A158067 A045220 A100158

Adjacent sequences: A234480 A234481 A234482 * A234484 A234485 A234486

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 26 2013

STATUS

approved

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Last modified January 31 01:17 EST 2023. Contains 359947 sequences. (Running on oeis4.)