A269078 Number of 4 X n binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two not more than once.

16, 89, 537, 3288, 17713, 102545, 542112, 2991561, 15699273, 84015848, 437869217, 2298582593, 11896438960, 61665786297, 317089210745, 1629210973432, 8329629544721, 42518834195697, 216316340106688, 1098583548812969

Offset: 1

Author

R. H. Hardin, Feb 19 2016

Keywords

• nonn

Examples

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

Links

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

Crossrefs

Row 4 of A269075.

Formula

Empirical: a(n) = 4*a(n-1) + 28*a(n-2) - 78*a(n-3) - 264*a(n-4) + 296*a(n-5) + 527*a(n-6) - 252*a(n-7) - 324*a(n-8).

Empirical g.f.: x*(16 + 25*x - 267*x^2 - 104*x^3 + 691*x^4 + 275*x^5 - 576*x^6 - 324*x^7) / (1 - 2*x - 16*x^2 + 7*x^3 + 18*x^4)^2. - Colin Barker, Jan 19 2019