A282992 Number of n X 4 0..1 arrays with no 1 equal to more than one of its horizontal and vertical neighbors.

13, 98, 803, 6547, 53389, 435027, 3546870, 28911809, 235681253, 1921212987, 15661161199, 127665372304, 1040691953095, 8483425185009, 69154476414585, 563727672983607, 4595348063993330, 37459973798636833, 305363079492664703, 2489233196683020273, 20291522858244231419

Offset: 1

Author

R. H. Hardin, Feb 26 2017

Keywords

• nonn

Comments

Column 4 of A282996.

Examples

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

Links

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

Crossrefs

Cf. A282996.

Formula

Empirical: a(n) = 4*a(n-1) +27*a(n-2) +59*a(n-3) -10*a(n-4) -134*a(n-5) +12*a(n-6) +43*a(n-7) -55*a(n-8) +42*a(n-9) -90*a(n-10) +58*a(n-11) -30*a(n-12) +6*a(n-13) -2*a(n-14) +a(n-15).