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A282856 Number of nX2 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors. 1
4, 11, 31, 89, 251, 715, 2028, 5761, 16358, 46452, 131910, 374581, 1063696, 3020560, 8577449, 24357268, 69167021, 196412696, 557750593, 1583837157, 4497601906, 12771782030, 36267864414, 102989386002, 292457628811, 830488149997 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A282862.

LINKS

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

FORMULA

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

Empirical: G.f.: -x*(1+x)*(x^3+x^2+3*x+4)/(-1+x+4*x^2+3*x^3+x^4+x^5) . - R. J. Mathar, Mar 02 2017

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Cf. A282862.

Sequence in context: A027115 A077995 A276293 * A296572 A176573 A076730

Adjacent sequences:  A282853 A282854 A282855 * A282857 A282858 A282859

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 23 2017

STATUS

approved

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Last modified July 22 06:33 EDT 2019. Contains 325216 sequences. (Running on oeis4.)