A302376 Number of nX3 0..1 arrays with every element equal to 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
1, 15, 76, 475, 2771, 16451, 97160, 574671, 3397622, 20089993, 118787443, 702368950, 4152971123, 24555730380, 145193342488, 858500551625, 5076149984859, 30014306641852, 177468870003729, 1049339576968817
Offset: 1
Keywords
Examples
Some solutions for n=5 ..0..0..1. .0..0..1. .0..0..1. .0..0..0. .0..0..0. .0..0..1. .0..0..1 ..1..1..0. .0..1..1. .1..1..0. .1..0..1. .1..1..1. .1..1..1. .1..1..1 ..0..0..0. .0..0..1. .0..1..0. .1..1..0. .1..1..0. .0..0..0. .0..1..0 ..1..0..0. .1..1..1. .1..0..1. .1..1..0. .1..0..0. .0..0..1. .1..0..1 ..1..1..0. .0..0..1. .0..1..1. .1..0..0. .1..1..1. .1..1..0. .1..1..1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A302381.
Formula
Empirical: a(n) = 4*a(n-1) +13*a(n-2) -5*a(n-3) -28*a(n-4) -11*a(n-5) +11*a(n-6) +4*a(n-7) +6*a(n-8) +24*a(n-9) +16*a(n-10) -32*a(n-11)
Comments