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

Author

R. H. Hardin, Mar 11 2017

Keywords

• nonn

Comments

Column 3 of A283572.

Examples

			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
		

Links

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

Crossrefs

Cf. A283572.

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)