A106367 - OEIS

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A106367

Necklaces with n beads of 5 colors, no 2 adjacent beads the same color.

5, 10, 20, 70, 204, 700, 2340, 8230, 29140, 104968, 381300, 1398500, 5162220, 19175140, 71582940, 268439590, 1010580540, 3817763740, 14467258260, 54975633976, 209430787820, 799645010860, 3059510616420, 11728124734500 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	LINKS	`Index entries for sequences related to necklaces`
	FORMULA	`CycleBG transform of (5, 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, A001869.` `Sequence in context: A023383 A092407 A056496 * A002791 A080399 A017667` `Adjacent sequences: A106364 A106365 A106366 * A106368 A106369 A106370`
	KEYWORD	`nonn`
	AUTHOR	`Christian G. Bower (bowerc(AT)usa.net), Apr 29 2005`

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Last modified February 14 08:49 EST 2012. Contains 205614 sequences.