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A214137 Number of 0..4 colorings on an nX5 array circular in the 5 direction with new values 0..4 introduced in row major order.

%I A214137 #8 Jul 22 2025 23:09:51
%S A214137 11,3074,1101051,396246659,142612676441,51327630988519,
%T A214137 18473293023759681,6648710425444606279,2392932882341580821521,
%U A214137 861238858813625796412439,309967896468864954647672961,111560336436381065332976408999
%N A214137 Number of 0..4 colorings on an nX5 array circular in the 5 direction with new values 0..4 introduced in row major order.
%C A214137 Column 4 of A214141
%H A214137 R. H. Hardin, <a href="/A214137/b214137.txt">Table of n, a(n) for n = 1..210</a>
%F A214137 Empirical: a(n) = 373*a(n-1) -4754*a(n-2) +15312*a(n-3).
%F A214137 Empirical: G.f. -x*(11-1029*x+6743*x^2) / ( (6*x-1)*(2552*x^2-367*x+1) ). - _R. J. Mathar_, Jul 07 2012
%e A214137 Some solutions for n=4
%e A214137 ..0..1..2..0..2....0..1..0..1..2....0..1..2..0..1....0..1..2..3..4
%e A214137 ..1..0..1..2..3....1..2..3..2..3....1..2..3..1..0....1..4..3..4..2
%e A214137 ..0..2..3..4..1....2..1..4..3..4....4..0..4..2..3....0..1..2..1..3
%e A214137 ..3..4..1..3..4....3..2..1..4..1....3..4..2..1..4....1..4..3..2..4
%K A214137 nonn
%O A214137 1,1
%A A214137 _R. H. Hardin_ Jul 05 2012