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A214114 Number of 0..3 colorings of a 3X(n+1) array circular in the n+1 direction with new values 0..3 introduced in row major order 1

%I

%S 25,121,3502,44900,825105,12777541,214404272,3462096250,56936675435,

%T 928191589611,15195150205442,248255790803800,4059868440913765,

%U 66362714338128081,1085006507030505012,17737586664000998550

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

%C Row 3 of A214112

%H R. H. Hardin, <a href="/A214114/b214114.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) +123*a(n-2) -509*a(n-3) -1615*a(n-4) +7137*a(n-5) -19*a(n-6) -20571*a(n-7) +13176*a(n-8) +13932*a(n-9) -11664*a(n-10).

%F Empirical: G.f. -x*(-25 +154*x +904*x^2 -4220*x^3 -2423*x^4 +21806*x^5 -10134*x^6 -26460*x^7 +20898*x^8) ) / ( (x-1) *(3*x-1) *(2*x-1) *(4*x+1) *(1+x) *(27*x^2-18*x+1) *(18*x^3+x^2-8*x-1) ). - _R. J. Mathar_, Jul 04 2012

%e Some solutions for n=4

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jul 04 2012

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Last modified August 8 12:30 EDT 2022. Contains 356009 sequences. (Running on oeis4.)