A301967 Number of 5Xn 0..1 arrays with every element equal to 0, 1 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.
16, 89, 100, 169, 311, 749, 1803, 4257, 10353, 25491, 62623, 154129, 380187, 938001, 2314659, 5713631, 14105377, 34823513, 85976895, 212277137, 524117847, 1294070913, 3195138873, 7889010751, 19478522291, 48093894353, 118747410843
Offset: 1
Keywords
Examples
Some solutions for n=5 ..0..1..0..0..1. .0..0..1..0..0. .0..1..1..0..1. .0..1..0..1..0 ..0..1..1..0..1. .1..0..1..1..0. .0..0..1..0..0. .0..0..0..1..0 ..0..0..1..0..1. .1..0..0..1..1. .1..0..1..1..0. .0..1..0..0..0 ..1..1..1..0..1. .1..1..0..0..1. .1..0..0..1..1. .0..1..0..1..1 ..1..0..1..0..0. .0..1..1..0..0. .1..1..0..0..1. .0..1..0..0..1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A301964.
Formula
Empirical: a(n) = 3*a(n-1) -2*a(n-2) +5*a(n-3) -8*a(n-4) +2*a(n-5) -9*a(n-6) +7*a(n-7) -a(n-8) +8*a(n-9) +a(n-10) -4*a(n-11) -3*a(n-13) +2*a(n-14) for n>17
Comments