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A269762 Number of n X 3 0..5 arrays with some element plus some horizontally or vertically adjacent neighbor totalling five exactly once. 1
60, 17520, 2624640, 326697720, 37212131520, 4022791852800, 420141188848320, 42818890099881480, 4284894917784397440, 422758967764941655440, 41241625930544770099200, 3986294332446031676572440 (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) = 184*a(n-1) - 9134*a(n-2) + 61640*a(n-3) - 112225*a(n-4) for n>5.

Empirical g.f.: 60*x*(1 + 108*x - 850*x^2 + 1554*x^3 + 225*x^4) / (1 - 92*x + 335*x^2)^2. - Colin Barker, Jan 28 2019

EXAMPLE

Some solutions for n=2:

..1..2..5. .0..1..4. .4..0..2. .2..4..4. .0..0..4. .5..3..0. .2..0..4

..5..4..1. .2..0..4. .3..0..5. .2..1..5. .4..1..5. .2..1..4. .1..2..1

CROSSREFS

Column 3 of A269767.

Sequence in context: A295598 A113424 A009564 * A291912 A001460 A003794

Adjacent sequences:  A269759 A269760 A269761 * A269763 A269764 A269765

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 04 2016

STATUS

approved

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Last modified January 19 09:45 EST 2021. Contains 340269 sequences. (Running on oeis4.)