A283037 Number of nX3 0..1 arrays with no 1 equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element.

1, 16, 119, 818, 5065, 30378, 175963, 997302, 5559013, 30578068, 166427637, 897975464, 4809947903, 25605505484, 135587794041, 714668815274, 3751742509465, 19624971865578, 102330051488077, 532058283113570

Offset: 1

Author

R. H. Hardin, Feb 27 2017

Keywords

• nonn

Comments

Column 3 of A283042.

Examples

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

Links

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

Crossrefs

Cf. A283042.

Formula

Empirical: a(n) = 4*a(n-1) +16*a(n-2) -154*a(n-4) -470*a(n-5) -644*a(n-6) -306*a(n-7) +401*a(n-8) +700*a(n-9) +315*a(n-10) -82*a(n-11) -168*a(n-12) -104*a(n-13) -11*a(n-14) +14*a(n-15) +5*a(n-16) +2*a(n-17) -a(n-18)