A302743 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
8, 128, 1652, 21625, 285613, 3778433, 50012515, 662080634, 8765152857, 116041489300, 1536272725817, 20338725884827, 269264599669170, 3564797029819794, 47194388320663969, 624807045634867762
Offset: 1
Keywords
Examples
Some solutions for n=5 ..0..0..1..0..1. .0..0..1..1..1. .0..1..1..0..1. .0..1..1..0..1 ..0..1..1..0..1. .0..1..0..0..0. .0..1..0..0..0. .0..0..0..1..1 ..0..0..0..1..0. .1..1..1..0..1. .0..0..1..1..1. .0..1..1..1..0 ..0..1..1..1..1. .0..1..1..1..1. .1..0..0..0..0. .1..1..0..0..1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A302741.
Formula
Empirical: a(n) = 13*a(n-1) +16*a(n-2) -165*a(n-3) -70*a(n-4) +100*a(n-5) -564*a(n-6) +879*a(n-7) -500*a(n-8) +1128*a(n-9) +1340*a(n-10) -448*a(n-11) -182*a(n-12) -314*a(n-13) +12*a(n-14) +2*a(n-15) for n>16
Comments