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A238520 Number of (n+1) X (3+1) 0..3 arrays with no element equal to all horizontal neighbors or equal to all vertical neighbors. 1

%I #6 Mar 26 2023 10:39:25

%S 7056,345744,49787136,5576504976,659389472784,77047385296896,

%T 9026159037210000,1056819881616572304,123752228014558128384,

%U 14490829645245700563600,1696821126905800754981136

%N Number of (n+1) X (3+1) 0..3 arrays with no element equal to all horizontal neighbors or equal to all vertical neighbors.

%C Column 3 of A238523.

%H R. H. Hardin, <a href="/A238520/b238520.txt">Table of n, a(n) for n = 1..145</a>

%F Empirical: a(n) = 102*a(n-1) +2016*a(n-2) -29659*a(n-3) +67326*a(n-4) +111132*a(n-5) -38416*a(n-6).

%e Some solutions for n=1

%e ..2..1..1..3....3..0..2..1....3..0..2..0....0..3..3..2....0..1..2..3

%e ..1..0..3..1....0..1..3..0....0..2..1..2....3..1..1..0....3..2..1..2

%Y Cf. A238523.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 28 2014

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Last modified August 30 19:16 EDT 2024. Contains 375545 sequences. (Running on oeis4.)