A283342 Number of nX3 0..1 arrays with no 1 equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.

0, 6, 71, 572, 4398, 31952, 224927, 1546856, 10453311, 69685558, 459502052, 3002936368, 19478808736, 125554496370, 804907528188, 5135894512268, 32635990233297, 206632022781320, 1304047329026174, 8205995071868288

Offset

1,2

Comments

Column 3 of A283347.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -13*a(n-2) -60*a(n-3) -50*a(n-4) +70*a(n-5) +78*a(n-6) +38*a(n-7) -57*a(n-8) -28*a(n-9) -18*a(n-10) +56*a(n-11) -37*a(n-12) +24*a(n-13) -28*a(n-14) +16*a(n-15) -4*a(n-16)

Example

Some solutions for n=4
..0..0..1. .0..0..0. .0..1..0. .1..0..1. .1..1..1. .1..0..1. .0..0..0
..0..1..1. .1..0..1. .0..0..0. .0..1..1. .1..0..1. .0..1..1. .1..0..0
..1..0..0. .1..1..0. .1..1..1. .0..0..1. .0..1..0. .1..0..0. .1..1..1
..0..1..1. .0..1..1. .1..0..0. .0..0..0. .0..0..1. .0..1..1. .0..1..0

Crossrefs

Cf. A283347.

Sequence in context: A241883 A297746 A027317 * A099339 A213530 A023038

Adjacent sequences: A283339 A283340 A283341 * A283343 A283344 A283345

Keyword

nonn

Author

R. H. Hardin, Mar 05 2017

Status

approved