A297297 Number of nX6 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 2 neighboring 1s.

1, 6, 17, 50, 157, 495, 1574, 5031, 16123, 51749, 166241, 534301, 1717724, 5523165, 17760715, 57115518, 183679098, 590706934, 1899713778, 6109510235, 19648337645, 63189642502, 203219959503, 653562362810, 2101879559822, 6759719676624

Offset: 1

Author

R. H. Hardin, Dec 27 2017

Keywords

• nonn

Comments

Column 6 of A297299.

Examples

			Some solutions for n=5
..0..0..1..1..1..1. .0..1..1..0..0..0. .0..1..1..0..0..0. .0..0..0..0..0..0
..0..1..0..0..1..1. .1..1..0..0..0..0. .1..1..0..1..1..1. .0..0..1..1..1..1
..1..1..1..0..1..1. .0..0..0..1..1..1. .0..0..1..0..1..1. .0..1..0..0..1..1
..0..1..0..0..1..0. .0..0..1..0..1..0. .0..1..0..0..1..0. .1..1..1..0..1..0
..1..1..1..1..0..0. .0..1..1..1..0..0. .1..1..1..1..0..0. .0..1..1..1..0..0
		

Links

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

Crossrefs

Cf. A297299.

Formula

Empirical: a(n) = 4*a(n-1) -8*a(n-3) -2*a(n-4) +4*a(n-5) +4*a(n-6) +a(n-7) -a(n-8)