A280437 Number of n X 5 0..1 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

5, 38, 77, 138, 225, 360, 574, 920, 1487, 2422, 3971, 6542, 10814, 17914, 29713, 49314, 81861, 135876, 225470, 373996, 620083, 1027598, 1702087, 2817898, 4662910, 7712270, 12749909, 21068730, 34800297, 57457632, 94828606, 156445952

Offset: 1

Author

R. H. Hardin, Jan 03 2017

Keywords

• nonn

Examples

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

Links

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

Crossrefs

Column 5 of A280440.

Formula

Empirical: a(n) = 4*a(n-1) - 4*a(n-2) - 2*a(n-3) + 4*a(n-4) - a(n-6) for n>7.

Empirical g.f.: x*(5 + 18*x - 55*x^2 - 8*x^3 + 37*x^4 + 14*x^5 + 7*x^6) / ((1 - x)^2*(1 - x - x^2)^2). - Colin Barker, Feb 13 2019