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A298065 Number of nX3 0..1 arrays with every element equal to 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero. 1
0, 2, 4, 13, 63, 253, 953, 3802, 15108, 59873, 236880, 937385, 3712010, 14698259, 58191701, 230387790, 912154985, 3611432057, 14298421381, 56610374096, 224132267313, 887386743512, 3513350051164, 13910087469748, 55072945693414 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A298070.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +a(n-3) -2*a(n-4) -9*a(n-5) -43*a(n-6) +8*a(n-7) +97*a(n-8) +27*a(n-9) -91*a(n-10) -37*a(n-11) +15*a(n-12) -14*a(n-13) +18*a(n-14) +10*a(n-15) -a(n-16) +2*a(n-17)

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A298070.

Sequence in context: A297861 A298128 A132786 * A298714 A306445 A216670

Adjacent sequences:  A298062 A298063 A298064 * A298066 A298067 A298068

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 11 2018

STATUS

approved

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Last modified October 2 01:30 EDT 2022. Contains 357191 sequences. (Running on oeis4.)