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A317155 Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 1
3, 9, 14, 29, 73, 165, 394, 1068, 3018, 8840, 27026, 84994, 270787, 872634, 2836018, 9247013, 30224317, 98998110, 324515834, 1064292227, 3492203429, 11460903801, 37616725965, 123478685661, 405342852398, 1330642249789, 4368286232516 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A317160.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +a(n-2) +9*a(n-3) -24*a(n-4) -25*a(n-5) +9*a(n-6) -3*a(n-7) +49*a(n-8) +17*a(n-9) +122*a(n-10) +28*a(n-11) -244*a(n-12) -106*a(n-13) +175*a(n-14) +40*a(n-15) -48*a(n-16) -2*a(n-17) +4*a(n-18) for n>20

EXAMPLE

Some solutions for n=5

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

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

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

CROSSREFS

Cf. A317160.

Sequence in context: A305342 A197274 A316234 * A316422 A100785 A317038

Adjacent sequences:  A317152 A317153 A317154 * A317156 A317157 A317158

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 22 2018

STATUS

approved

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Last modified September 22 02:48 EDT 2021. Contains 347605 sequences. (Running on oeis4.)