A268968 Number of n X 5 0..2 arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once.
144, 3312, 63792, 1125360, 18852912, 305242992, 4823705520, 74858700528, 1145496747312, 17332683832944, 259866681636528, 3866483993274864, 57157824214772784, 840294622720295280, 12294351113071353264
Offset: 1
Keywords
Examples
Some solutions for n=3: ..0..1..2..0..1. .0..2..2..2..1. .1..0..1..0..0. .0..2..1..0..1 ..2..2..1..0..0. .2..2..1..0..0. .1..0..0..1..0. .1..0..1..2..2 ..1..0..0..1..2. .1..0..0..0..1. .2..1..0..1..0. .1..2..2..1..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Column 5 of A268971.
Formula
Empirical: a(n) = 30*a(n-1) - 261*a(n-2) + 540*a(n-3) - 324*a(n-4).
Empirical g.f.: 144*x*(1 - 7*x + 14*x^2 - 12*x^3) / (1 - 15*x + 18*x^2)^2. - Colin Barker, Jan 17 2019