A303470 Number of 3Xn 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
4, 32, 170, 948, 5237, 29009, 160590, 888993, 4921496, 27244949, 150826626, 834967061, 4622327859, 25588933014, 141658809728, 784214751260, 4341366231543, 24033545332699, 133048277989004, 736547356196655
Offset: 1
Keywords
Examples
Some solutions for n=5 ..0..0..1..0..1. .0..1..0..0..0. .0..0..1..0..0. .0..1..0..1..1 ..0..0..0..0..1. .1..0..1..1..1. .1..1..0..1..0. .1..1..0..1..0 ..0..1..0..0..1. .1..0..1..0..0. .0..1..1..0..1. .0..0..1..1..1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A303469.
Formula
Empirical: a(n) = 3*a(n-1) +15*a(n-2) -32*a(n-4) +5*a(n-5) +53*a(n-6) -14*a(n-7) -10*a(n-8) +19*a(n-9) -5*a(n-10) +8*a(n-11) +a(n-12) -4*a(n-13) -2*a(n-14) for n>15
Comments