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A316299 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4, 6 or 8 king-move adjacent elements, with upper left element zero. 1
4, 12, 20, 39, 110, 245, 572, 1384, 3267, 7767, 18500, 43949, 104584, 248880, 591971, 1408452, 3351213, 7973189, 18970293, 45135581, 107389830, 255510579, 607930774, 1446436781, 3441480653, 8188250475, 19482148534, 46353514855, 110288063427 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A316304.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-2) +7*a(n-3) +8*a(n-4) +2*a(n-5) -12*a(n-6) -26*a(n-7) -23*a(n-8) -6*a(n-9) +9*a(n-10) +10*a(n-11) +3*a(n-12) for n>13

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A316304.

Sequence in context: A099956 A301066 A008092 * A301231 A151914 A087080

Adjacent sequences:  A316296 A316297 A316298 * A316300 A316301 A316302

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 29 2018

STATUS

approved

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Last modified May 12 19:15 EDT 2021. Contains 343829 sequences. (Running on oeis4.)