A316277 - OEIS

A316277

Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.

1, 25, 125, 846, 5321, 34017, 216805, 1382759, 8818011, 56235794, 358634504, 2287139522, 14585896741, 93019435778, 593217934737, 3783161234432, 24126561478176, 153863643025597, 981243045206416, 6257735063392694

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OFFSET

1,2

COMMENTS

Column 3 of A316282.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +16*a(n-2) +5*a(n-3) -50*a(n-4) -91*a(n-5) -64*a(n-6) -37*a(n-7) -23*a(n-8) -5*a(n-9) for n>10

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A316282.

Sequence in context: A066609 A074006 A073963 * A201842 A057902 A042216

Adjacent sequences: A316274 A316275 A316276 * A316278 A316279 A316280

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 28 2018

STATUS

approved