A302684 Number of 6Xn 0..1 arrays with every element equal to 0, 1, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
32, 14, 18, 64, 125, 453, 2013, 6725, 21745, 80985, 295335, 1015113, 3570091, 12835677, 45416833, 159687591, 566457119, 2010993911, 7108904181, 25146289499, 89111146015, 315554058131, 1116679458873, 3953641136991, 14000618548225
Offset: 1
Keywords
Examples
Some solutions for n=5 ..0..1..0..1..0. .0..1..0..1..0. .0..1..1..1..0. .0..1..0..1..0 ..0..1..0..1..0. .0..1..0..0..0. .0..1..0..1..0. .0..1..0..1..0 ..0..1..0..1..0. .0..1..0..1..0. .0..1..0..1..0. .0..1..0..1..0 ..0..0..0..1..0. .0..1..1..1..0. .0..1..0..1..0. .0..1..0..1..0 ..0..1..0..1..0. .0..1..0..1..0. .0..1..0..1..0. .0..1..0..1..0 ..0..1..0..1..0. .0..1..0..0..0. .0..1..1..1..0. .0..1..0..0..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A302680.
Formula
Empirical: a(n) = a(n-1) +2*a(n-2) +18*a(n-3) +31*a(n-4) -4*a(n-5) -56*a(n-6) -58*a(n-7) -38*a(n-8) +52*a(n-9) +7*a(n-10) -47*a(n-11) +10*a(n-12) +a(n-13) -32*a(n-14) +12*a(n-15) +2*a(n-16) +8*a(n-17) for n>23
Comments