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A316284 Number of n X 3 0..1 arrays with every element unequal to 0, 1, 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero. 1
4, 21, 42, 125, 361, 987, 2840, 8177, 23078, 66092, 189934, 542549, 1555968, 4472084, 12834117, 36874076, 106057815, 304978090, 877344581, 2525161569, 7268401508, 20925202372, 60256501068, 173532468268, 499807464421, 1439715507607 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A316289.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +a(n-2) +6*a(n-3) -23*a(n-4) -22*a(n-5) +7*a(n-6) +27*a(n-7) +24*a(n-8) -18*a(n-9) -10*a(n-10) for n>12.

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A316289.

Sequence in context: A273417 A273443 A304467 * A349807 A273405 A273831

Adjacent sequences: A316281 A316282 A316283 * A316285 A316286 A316287

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 28 2018

STATUS

approved

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Last modified January 28 08:03 EST 2023. Contains 359850 sequences. (Running on oeis4.)