A304341 - OEIS

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A304341

Number of nX2 0..1 arrays with every element unequal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero.

2, 4, 14, 28, 94, 284, 752, 2244, 6532, 18472, 53680, 155040, 445000, 1285184, 3706032, 10672592, 30778032, 88725600, 255701024, 737147264, 2124889120, 6124798656, 17655444096, 50892739392, 146699089600, 422869223040

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OFFSET

1,1

COMMENTS

Column 2 of A304347.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +2*a(n-2) +6*a(n-3) -10*a(n-4) -8*a(n-5) for n>6

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A304347.

Sequence in context: A338740 A365544 A360791 * A372941 A263987 A333710

Adjacent sequences: A304338 A304339 A304340 * A304342 A304343 A304344

KEYWORD

nonn

AUTHOR

R. H. Hardin, May 11 2018

STATUS

approved