id:A106364 - OEIS Search Results

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Mobiles (cycle rooted trees) where no branch is identical to its adjacent neighbor.

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1, 1, 1, 2, 3, 6, 14, 30, 68, 159, 381, 914, 2238, 5508, 13701, 34288, 86401, 218818, 557067, 1424083, 3655221, 9414642, 24328133, 63049458, 163844470, 426831429, 1114496370, 2916228670, 7645777113, 20082543578, 52839735409, 139251228967 (list; graph; listen)

	OFFSET	`1,4`
	LINKS	`Index entries for sequences related to mobiles`
	FORMULA	`Shifts left under CycleBG transform.` `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. A032200.` `Sequence in context: A005537 A152092 A087293 this_sequence A006444 A032047 A032065` `Adjacent sequences: A106361 A106362 A106363 this_sequence A106365 A106366 A106367`
	KEYWORD	`nonn,eigen`
	AUTHOR	`Christian G. Bower (bowerc(AT)usa.net), Apr 29 2005`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

AT&T Labs Research