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A106368 Necklaces with n beads of 6 colors, no 2 adjacent beads the same color. 1
6, 15, 40, 165, 624, 2635, 11160, 48915, 217040, 976887, 4438920, 20346485, 93900240, 435970995, 2034505656, 9536767665, 44878791360, 211927736135, 1003867701480, 4768372070757, 22706531350480, 108372083629275 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..22.

Index entries for sequences related to necklaces

FORMULA

CycleBG transform of (6, 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.

Sequence in context: A192308 A171159 A114696 * A100491 A220030 A137806

Adjacent sequences:  A106365 A106366 A106367 * A106369 A106370 A106371

KEYWORD

nonn

AUTHOR

Christian G. Bower, Apr 29 2005

STATUS

approved

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Last modified May 25 02:03 EDT 2013. Contains 225634 sequences.