A281649 - OEIS

A281649

Number of nX3 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

1, 70, 985, 10572, 104815, 982206, 8921869, 79152992, 690169163, 5936924514, 50519131945, 426076889988, 3566942546599, 29673740170566, 245529558834373, 2022092139217448, 16585031242812675, 135537068349013930

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OFFSET

1,2

COMMENTS

Column 3 of A281653.

LINKS

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

FORMULA

Empirical: a(n) = 14*a(n-1) -29*a(n-2) -192*a(n-3) +136*a(n-4) +1336*a(n-5) +1164*a(n-6) -2528*a(n-7) -6176*a(n-8) -5120*a(n-9) -1600*a(n-10) for n>13

EXAMPLE

Some solutions for n=4

..0..1..2. .0..1..0. .0..0..1. .0..0..1. .0..1..1. .0..1..0. .0..1..2

..2..0..1. .0..0..0. .1..0..1. .0..1..0. .2..0..2. .2..2..0. .0..1..1

..2..2..2. .2..1..0. .1..2..1. .2..1..0. .2..0..1. .2..1..0. .0..1..2

..0..1..0. .0..2..1. .1..0..0. .0..2..0. .1..1..2. .0..1..2. .2..0..2

CROSSREFS

Cf. A281653.

Sequence in context: A251933 A061170 A125114 * A189413 A362054 A229735

Adjacent sequences: A281646 A281647 A281648 * A281650 A281651 A281652

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 26 2017

STATUS

approved