A282992 - OEIS

A282992

Number of n X 4 0..1 arrays with no 1 equal to more than one of its horizontal and vertical neighbors.

13, 98, 803, 6547, 53389, 435027, 3546870, 28911809, 235681253, 1921212987, 15661161199, 127665372304, 1040691953095, 8483425185009, 69154476414585, 563727672983607, 4595348063993330, 37459973798636833, 305363079492664703, 2489233196683020273, 20291522858244231419

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OFFSET

1,1

COMMENTS

Column 4 of A282996.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +27*a(n-2) +59*a(n-3) -10*a(n-4) -134*a(n-5) +12*a(n-6) +43*a(n-7) -55*a(n-8) +42*a(n-9) -90*a(n-10) +58*a(n-11) -30*a(n-12) +6*a(n-13) -2*a(n-14) +a(n-15).

EXAMPLE

Some solutions for n=5:

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

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

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

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

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

CROSSREFS

Cf. A282996.

Sequence in context: A158795 A075899 A006976 * A295271 A034270 A201427

Adjacent sequences: A282989 A282990 A282991 * A282993 A282994 A282995

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 26 2017

STATUS

approved