A299834 - OEIS

A299834

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

1, 18, 142, 1000, 7388, 54611, 402928, 2973312, 21942164, 161924976, 1194944253, 8818235182, 65075230158, 480230500262, 3543918833192, 26152776005975, 192997561438126, 1424248757071714, 10510415297046298, 77562875984896828

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OFFSET

1,2

COMMENTS

Column 3 of A299839.

LINKS

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

FORMULA

Empirical: a(n) = 7*a(n-1) +2*a(n-2) +7*a(n-3) -6*a(n-4) -15*a(n-5) +a(n-6) +2*a(n-7) -5*a(n-8) -2*a(n-9) for n>10.

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A299839.

Sequence in context: A299062 A299723 A125355 * A231951 A126513 A232820

Adjacent sequences: A299831 A299832 A299833 * A299835 A299836 A299837

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 20 2018

STATUS

approved