A301952 Number of 3Xn 0..1 arrays with every element equal to 1, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.
0, 5, 20, 123, 680, 4070, 23565, 138014, 805249, 4704141, 27469522, 160428571, 936897912, 5471539885, 31953953498, 186612354231, 1089822896327, 6364606387628, 37169536347339, 217071469820879, 1267705419106309
Offset: 1
Keywords
Examples
Some solutions for n=5 ..0..0..0..1..1. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..1..0 ..0..1..0..1..1. .0..1..1..1..1. .1..1..1..0..0. .0..1..1..0..0 ..1..0..0..1..1. .1..0..0..1..1. .0..0..0..0..0. .0..0..1..1..1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A301951.
Formula
Empirical: a(n) = 4*a(n-1) +12*a(n-2) -5*a(n-3) -14*a(n-4) +14*a(n-6) +4*a(n-7) -3*a(n-8) -5*a(n-9) +a(n-10) for n>12
Comments