A268997 Number of 3 X n binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once.

8, 41, 174, 805, 3331, 14080, 57287, 232449, 928886, 3688159, 14524152, 56872865, 221485093, 858684462, 3315594029, 12757162785, 48929395140, 187135343189, 713890088738, 2717075148077, 10319450344743, 39117842242220

Offset: 1

Author

R. H. Hardin, Feb 17 2016

Keywords

• nonn

Examples

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

Links

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

Crossrefs

Row 3 of A268995.

Formula

Empirical: a(n) = 3*a(n-1) + 12*a(n-2) - 16*a(n-3) - 62*a(n-4) - 34*a(n-5) + 16*a(n-6) + 12*a(n-7) - a(n-8) - a(n-9).

Empirical g.f.: x*(8 + 17*x - 45*x^2 - 81*x^3 - 20*x^4 + 25*x^5 + 9*x^6 - 2*x^7 - x^8) / ((1 + x)*(1 - 2*x - 6*x^2 + x^4)^2). - Colin Barker, Jan 18 2019