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A106365 Necklaces with n beads of 3 colors, no 2 adjacent beads the same color. +0
1
3, 3, 2, 6, 6, 14, 18, 36, 58, 108, 186, 352, 630, 1182, 2190, 4116, 7710, 14602, 27594, 52488, 99878, 190746, 364722, 699252, 1342182, 2581428, 4971066, 9587580, 18512790, 35792568, 69273666, 134219796, 260301174, 505294128, 981706830 (list; graph; listen)
OFFSET

1,1

LINKS

Index entries for sequences related to necklaces

FORMULA

CycleBG transform of (3, 0, 0, 0, ...)

CycleBG transform T(A) = invMOEBIUS(invEULER(Carlitz(A)) + A(x^2) - A) + A.

Carlitz transform T(A(x)) has g.f. 1/(1-sum(k>0, (-1)^(k+1)*A(x^k))).

CROSSREFS

Cf. A000031, A001867.

Sequence in context: A083343 A110898 A147994 this_sequence A086636 A115055 A158468

Adjacent sequences: A106362 A106363 A106364 this_sequence A106366 A106367 A106368

KEYWORD

nonn

AUTHOR

Christian G. Bower (bowerc(AT)usa.net), Apr 29 2005

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Last modified December 4 15:11 EST 2009. Contains 170347 sequences.


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