A274723 Number of n X 3 0..2 arrays with no element equal to any value at offset (-1,-2) (-2,-1) or (-1,0) and new values introduced in order 0..2.

5, 24, 68, 260, 1040, 4132, 16524, 66088, 264332, 1057316, 4229264, 16917028, 67668108, 270672424, 1082689676, 4330758692, 17323034768, 69292139044, 277168556172, 1108674224680, 4434696898700, 17738787594788, 70955150379152

Offset: 1

Author

R. H. Hardin, Jul 03 2016

Keywords

• nonn

Examples

			Some solutions for n=4:
..0..1..0. .0..0..0. .0..1..0. .0..1..0. .0..1..0. .0..1..0. .0..1..0
..1..0..1. .1..1..1. .1..0..1. .2..0..2. .2..0..2. .1..2..1. .1..2..1
..0..1..2. .2..2..2. .2..1..0. .0..1..0. .1..2..0. .2..1..2. .2..1..2
..1..2..1. .0..0..0. .0..0..1. .2..0..2. .0..0..2. .0..2..0. .1..0..1
		

Links

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

Crossrefs

Column 3 of A274728.

Formula

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

Empirical g.f.: x*(5 + 9*x - 24*x^2 - 45*x^3 - 21*x^4 - 4*x^5 + 8*x^6) / ((1 - x)*(1 + x)*(1 - 4*x)*(1 + x + x^2)). - Colin Barker, Jan 30 2019