A303619 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
1, 12, 38, 148, 616, 2520, 10288, 42100, 172268, 704776, 2883500, 11797636, 48268920, 197487780, 808003420, 3305872824, 13525678764, 55339088836, 226414867352, 926355911364, 3790101263196, 15506855855704, 63444895485516
Offset: 1
Keywords
Examples
Some solutions for n=5 ..0..1..1. .0..1..0. .0..0..1. .0..1..1. .0..0..0. .0..0..0. .0..0..0 ..1..1..1. .1..1..1. .0..0..1. .0..1..1. .0..0..0. .0..0..0. .0..0..1 ..0..1..0. .0..1..1. .1..0..0. .1..1..1. .0..0..1. .1..0..0. .0..0..1 ..0..1..1. .1..1..1. .0..0..0. .1..1..0. .1..0..0. .0..0..0. .1..0..0 ..1..1..0. .1..1..1. .0..0..1. .1..1..1. .0..0..1. .1..0..1. .0..0..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A303624.
Formula
Empirical: a(n) = 5*a(n-1) -5*a(n-2) +8*a(n-3) -12*a(n-4) +4*a(n-5) -4*a(n-6) for n>8
Comments