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A282785 Number of n X 2 0..1 arrays with no 1 equal to more than one of its king-move neighbors, with the exception of exactly one element. 1
0, 0, 8, 16, 72, 240, 736, 2352, 7128, 21424, 63768, 187424, 547136, 1586016, 4570280, 13105488, 37414632, 106404944, 301580704, 852159120, 2401326712, 6750087408, 18931901880, 52989773184, 148039566336, 412873929408, 1149659579720 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) + 5*a(n-2) +2*a(n-3) - 17*a(n-4) - 24*a(n-5) - 16*a(n-6).

Empirical g.f.: 8*x^3 / (1 - x - 3*x^2 - 4*x^3)^2. - Colin Barker, Feb 21 2019

EXAMPLE

Some solutions for n=4:

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

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

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

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

CROSSREFS

Column 2 of A282791.

Sequence in context: A132794 A082982 A218899 * A278747 A218066 A157164

Adjacent sequences: A282782 A282783 A282784 * A282786 A282787 A282788

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 21 2017

STATUS

approved

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Last modified January 29 20:10 EST 2023. Contains 359926 sequences. (Running on oeis4.)