A317520 - OEIS

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A317520

Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

4, 32, 248, 1921, 14892, 115446, 894961, 6937925, 53784248, 416946757, 3232258602, 25057145775, 194248243009, 1505853070853, 11673688450775, 90496878270178, 701550757601700, 5438568433511460, 42160921765806133, 326840297382217310

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OFFSET

1,1

COMMENTS

Column 3 of A317525.

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-1) -2*a(n-2) +a(n-3) -3*a(n-4)

EXAMPLE

Some solutions for n=5

..0..0..0. .0..0..1. .0..1..1. .0..1..0. .0..1..1. .0..0..0. .0..0..0

..1..1..0. .1..0..1. .1..0..0. .1..0..1. .0..1..1. .0..0..1. .0..0..1

..0..0..1. .1..0..0. .1..1..1. .1..0..0. .0..0..1. .0..1..1. .1..0..0

..1..0..0. .1..0..0. .0..0..0. .0..0..1. .1..0..1. .0..1..0. .1..1..0

..0..0..0. .0..0..1. .1..1..1. .0..0..0. .0..1..1. .1..1..0. .0..0..0

CROSSREFS

Cf. A317525.

Sequence in context: A147551 A316803 A299649 * A300203 A273053 A303422

Adjacent sequences: A317517 A317518 A317519 * A317521 A317522 A317523

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 30 2018

STATUS

approved