A299723 - OEIS

A299723

Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

1, 18, 141, 1027, 7664, 57471, 430401, 3222716, 24132103, 180705499, 1353151672, 10132613337, 75874616631, 568161175962, 4254481072055, 31858229585461, 238559480074272, 1786371253979085, 13376631505148125, 100166340017987924

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OFFSET

1,2

COMMENTS

Column 3 of A299728.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) +8*a(n-2) +20*a(n-3) +25*a(n-4) +11*a(n-5) +2*a(n-6) for n>7

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A299728.

Sequence in context: A204273 A081074 A299062 * A125355 A299834 A231951

Adjacent sequences: A299720 A299721 A299722 * A299724 A299725 A299726

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 17 2018

STATUS

approved