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A316636 Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 1
1, 16, 43, 122, 404, 1344, 4583, 15737, 53378, 182889, 626144, 2140598, 7328954, 25088547, 85860039, 293920208, 1006105675, 3443828176, 11788522574, 40352683838, 138128383567, 472821164301, 1618489337206, 5540161660167 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A316641.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +5*a(n-2) +7*a(n-3) -15*a(n-4) -36*a(n-5) -3*a(n-6) -5*a(n-7) +39*a(n-8) +47*a(n-9) +67*a(n-10) +31*a(n-11) -69*a(n-12) -52*a(n-13) -53*a(n-14) +17*a(n-15) +15*a(n-16) -12*a(n-17) -8*a(n-18) -4*a(n-19) for n>21

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A316641.

Sequence in context: A218067 A187729 A088800 * A187721 A253397 A258554

Adjacent sequences:  A316633 A316634 A316635 * A316637 A316638 A316639

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 09 2018

STATUS

approved

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Last modified May 25 13:50 EDT 2022. Contains 354071 sequences. (Running on oeis4.)