A106366 - OEIS

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A106366

Necklaces with n beads of 4 colors, no 2 adjacent beads the same color.

4, 6, 8, 24, 48, 130, 312, 834, 2192, 5934, 16104, 44368, 122640, 341802, 956632, 2690844, 7596480, 21524542, 61171656, 174342216, 498112272, 1426419858, 4093181688, 11767920118, 33891544416, 97764131646, 282429537944 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	LINKS	`Index entries for sequences related to necklaces`
	FORMULA	`CycleBG transform of (4, 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, A001868.` `Sequence in context: A083790 A074125 A063719 * A019160 A126233 A059889` `Adjacent sequences: A106363 A106364 A106365 * A106367 A106368 A106369`
	KEYWORD	`nonn`
	AUTHOR	`Christian G. Bower (bowerc(AT)usa.net), Apr 29 2005`

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Last modified February 15 13:40 EST 2012. Contains 205803 sequences.