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A316204 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero. 1
4, 23, 78, 271, 982, 3619, 13454, 50193, 187620, 702063, 2628392, 9842791, 36863984, 138074989, 517180630, 1937210511, 7256297572, 27180361021, 101811374934, 381362390785, 1428498083084, 5350835309773, 20043038849204, 75076770609471 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A316209.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +2*a(n-2) -9*a(n-3) -10*a(n-4) +7*a(n-5) +8*a(n-6) -9*a(n-7) -3*a(n-8) +23*a(n-9) +18*a(n-10) -8*a(n-11) -4*a(n-12) +2*a(n-13) -2*a(n-14) -14*a(n-15) -8*a(n-16)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A316209.

Sequence in context: A071246 A219933 A304305 * A305771 A219465 A317120

Adjacent sequences:  A316201 A316202 A316203 * A316205 A316206 A316207

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 26 2018

STATUS

approved

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Last modified November 20 05:07 EST 2019. Contains 329323 sequences. (Running on oeis4.)