A233152 Number of n X 5 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally or antidiagonally.
48, 648, 8856, 121176, 1658232, 22692312, 310536504, 4249585944, 58154132088, 795819434328, 10890517137336, 149033007242136, 2039465800159992, 27909392872041432, 381930508677741624, 5226588558469378584
Offset: 1
Keywords
Examples
Some solutions for n=4: ..1..2..1..2..2....0..1..2..1..0....2..1..0..0..0....1..2..1..2..2 ..2..2..1..2..2....0..1..0..1..2....2..1..0..1..2....2..2..2..2..2 ..2..2..1..2..1....0..1..2..1..0....2..1..0..1..2....2..1..2..1..2 ..1..2..1..2..2....2..1..0..1..2....0..0..0..1..2....0..1..0..1..2
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Column 5 of A233155.
Formula
Empirical: a(n) = 15*a(n-1) - 18*a(n-2).
Empirical g.f.: 24*x*(2 - 3*x) / (1 - 15*x + 18*x^2). - Colin Barker, Oct 08 2018