

A282785


Number of n X 2 0..1 arrays with no 1 equal to more than one of its kingmove 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
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OFFSET

1,3


LINKS

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


FORMULA

Empirical: a(n) = 2*a(n1) + 5*a(n2) +2*a(n3)  17*a(n4)  24*a(n5)  16*a(n6).
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



