A283567 Number of nX3 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.

1, 26, 169, 1108, 6453, 36038, 194173, 1021432, 5275885, 26869458, 135310457, 675163708, 3343196861, 16447661790, 80470971869, 391822686752, 1899839181365, 9177752354378, 44190339947417, 212148874972196, 1015791721800101

Offset

1,2

Comments

Column 3 of A283572.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -27*a(n-2) -4*a(n-3) +89*a(n-4) -106*a(n-5) -85*a(n-6) +228*a(n-7) -60*a(n-8) -192*a(n-9) +144*a(n-10) +64*a(n-11) -64*a(n-12)

Example

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

Crossrefs

Cf. A283572.

Sequence in context: A249292 A279744 A214353 * A037052 A156339 A268331

Adjacent sequences: A283564 A283565 A283566 * A283568 A283569 A283570

Keyword

nonn

Author

R. H. Hardin, Mar 11 2017

Status

approved