A303423 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
8, 128, 1988, 30897, 480953, 7486281, 116517744, 1813509273, 28226012078, 439318146284, 6837678112091, 106423655020443, 1656409429611799, 25780849141739720, 401260805513420875, 6245342547417157374
Offset: 1
Keywords
Examples
Some solutions for n=5 ..0..0..0..0..1. .0..0..0..1..0. .0..1..0..1..1. .0..0..0..1..1 ..0..0..0..0..0. .0..1..1..0..0. .0..0..1..1..1. .0..0..0..0..1 ..0..1..1..0..1. .0..1..0..0..1. .0..1..1..1..0. .0..0..1..1..1 ..0..0..1..1..1. .0..0..0..1..1. .1..0..1..1..1. .0..0..0..1..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A303421.
Formula
Empirical: a(n) = 14*a(n-1) +12*a(n-2) +175*a(n-3) +283*a(n-4) -235*a(n-5) -144*a(n-6) +67*a(n-7) -135*a(n-8) +50*a(n-9)
Comments