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A299597 Number of nX3 0..1 arrays with every element equal to 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 1
0, 3, 9, 27, 147, 643, 3051, 14539, 69087, 330659, 1581181, 7568599, 36237471, 173510451, 830875967, 3978809357, 19053619021, 91244122317, 436951789203, 2092488030843, 10020577253545, 47986897587643, 229801409544101 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A299602.

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-1) +6*a(n-2) -31*a(n-3) -35*a(n-4) +102*a(n-5) +81*a(n-6) -227*a(n-7) -101*a(n-8) +221*a(n-9) +74*a(n-10) -34*a(n-11) -2*a(n-12) -8*a(n-13) for n>15

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A299602.

Sequence in context: A306681 A254334 A028855 * A143014 A202907 A032261

Adjacent sequences:  A299594 A299595 A299596 * A299598 A299599 A299600

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 14 2018

STATUS

approved

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Last modified May 28 16:37 EDT 2022. Contains 354119 sequences. (Running on oeis4.)