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A232953 Number of nX6 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, diagonally or antidiagonally, and top left element zero.

%I A232953 #6 Jul 23 2025 07:45:44
%S A232953 243,27771,3484893,442227825,56282275743,7168373617095,
%T A232953 913176469752921,116335186551225981,14820857088037937067,
%U A232953 1888152565941258630963,240547722416361692415285,30645415985954670300604329
%N A232953 Number of nX6 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, diagonally or antidiagonally, and top left element zero.
%C A232953 Column 6 of A232955
%H A232953 R. H. Hardin, <a href="/A232953/b232953.txt">Table of n, a(n) for n = 1..210</a>
%F A232953 Empirical: a(n) = 164*a(n-1) -4626*a(n-2) -10237*a(n-3) +724806*a(n-4) -2489128*a(n-5) -20967827*a(n-6) +129949639*a(n-7) -92364571*a(n-8) -632285585*a(n-9) +1013530592*a(n-10) +686481298*a(n-11) -1825492832*a(n-12) +98427893*a(n-13) +965164167*a(n-14) -223865096*a(n-15) -150502642*a(n-16) +39404908*a(n-17) +4977174*a(n-18) -881024*a(n-19) -36192*a(n-20) +4272*a(n-21)
%e A232953 Some solutions for n=2
%e A232953 ..0..0..1..3..2..2....0..0..2..3..3..3....0..1..0..0..0..0....0..1..1..1..3..1
%e A232953 ..1..1..1..3..2..0....0..0..2..3..1..3....0..2..0..0..1..0....1..0..0..1..1..3
%K A232953 nonn
%O A232953 1,1
%A A232953 _R. H. Hardin_, Dec 02 2013