cp's OEIS Frontend

A183358 One quarter the number of nX6 1..4 arrays with no two neighbors of any element equal to each other.

%I A183358 #7 Jul 22 2025 08:51:26
%S A183358 324,9216,11664,24336,57600,147456,331776,746496,1679616,3873024,
%T A183358 8856576,20358144,46457856,106502400,243360000,557715456,1275346944,
%U A183358 2921186304,6682081536,15300700416,35007906816,80147874816,183403201536
%N A183358 One quarter the number of nX6 1..4 arrays with no two neighbors of any element equal to each other.
%C A183358 Column 6 of A183362
%H A183358 R. H. Hardin, <a href="/A183358/b183358.txt">Table of n, a(n) for n = 1..106</a>
%F A183358 Empirical: a(n)=2*a(n-1)+2*a(n-2)-4*a(n-3)+4*a(n-4)-4*a(n-5)+2*a(n-6)-6*a(n-7)+a(n-10) for n>14
%e A183358 Some solutions for 5X6 with a(1,1)=1
%e A183358 ..1..3..4..1..1..4....1..4..2..3..1..4....1..1..3..4..1..3....1..2..4..4..1..3
%e A183358 ..2..3..4..2..3..3....2..4..1..3..2..4....3..2..2..4..1..2....3..3..1..2..2..3
%e A183358 ..2..1..1..2..4..1....2..3..1..4..2..1....4..4..1..3..3..4....4..4..1..3..4..4
%e A183358 ..4..4..3..3..4..2....1..3..2..4..3..1....2..3..1..2..2..4....1..2..2..3..1..1
%e A183358 ..1..2..2..1..1..3....1..4..2..1..3..2....2..3..4..4..1..1....1..3..4..4..2..3
%K A183358 nonn
%O A183358 1,1
%A A183358 _R. H. Hardin_ Jan 04 2011