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 A214113 Number of 0..3 colorings of a 2X(n+1) array circular in the n+1 direction with new values 0..3 introduced in row major order 1

%I

%S 4,11,111,670,4994,34041,241021,1678940,11777184,82366471,576786731,

%T 4036842810,28259892574,197813269301,1384710821241,9692921940280,

%U 67850615007164,474953820774531,3324678198248551,23272743029259350

%N Number of 0..3 colorings of a 2X(n+1) array circular in the n+1 direction with new values 0..3 introduced in row major order

%C Row 2 of A214112

%H R. H. Hardin, <a href="/A214113/b214113.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +22*a(n-2) -4*a(n-3) -21*a(n-4).

%F Empirical: G.f. -x*(7*x+4)*(3*x-1) / ( (x-1)*(3*x+1)*(7*x-1)*(1+x) ), a(n) = 11/24 +3*(-1)^(n+1)/8 +7^(n+1)/24 +(-3)^(n+1)/8. - _R. J. Mathar_, Jul 04 2012

%e Some solutions for n=4

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jul 04 2012

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Last modified August 17 05:07 EDT 2022. Contains 356184 sequences. (Running on oeis4.)