A283686 - OEIS

A283686

Number of nX3 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors.

8, 49, 264, 1525, 8732, 49924, 285770, 1635402, 9359104, 53561285, 306524651, 1754204129, 10039103443, 57452599764, 328794429339, 1881651609689, 10768469471919, 61626676386770, 352682175698390, 2018358353003843

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OFFSET

1,1

COMMENTS

Column 3 of A283691.

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-1) +2*a(n-2) +14*a(n-3) -9*a(n-4) +2*a(n-5) -45*a(n-6) -20*a(n-7) -6*a(n-8) +24*a(n-9) +40*a(n-10)

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Cf. A283691.

Sequence in context: A344321 A166789 A081901 * A026389 A005059 A026719

Adjacent sequences: A283683 A283684 A283685 * A283687 A283688 A283689

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 14 2017

STATUS

approved