A279710 Number of 3 X n 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.

4, 5, 11, 22, 47, 102, 224, 494, 1089, 2400, 5289, 11661, 25718, 56728, 125125, 275973, 608663, 1342423, 2960792, 6530255, 14402991, 31766847, 70063951, 154530760, 340828154, 751720173, 1657971361, 3656771426, 8065263401, 17788497730

Offset: 1

Author

R. H. Hardin, Dec 17 2016

Keywords

• nonn

Examples

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

Links

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

Crossrefs

Row 3 of A279709.

Formula

Empirical: a(n) = 3*a(n-1) - 2*a(n-2) - a(n-3) + 4*a(n-4) - a(n-5) - a(n-7) - a(n-8).

Empirical g.f.: x*(4 - 7*x + 4*x^2 + 3*x^3 - 8*x^4 - 5*x^6) / ((1 - x)*(1 + x)*(1 - 2*x - x^3)*(1 - x + x^2 + x^3)). - Colin Barker, Feb 11 2019