id:A106361 - OEIS Search Results

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Number of rooted ordered trees where no branch is identical to its adjacent neighbor.

+0
3

1, 1, 1, 3, 6, 16, 45, 128, 371, 1106, 3343, 10230, 31635, 98714, 310366, 982437, 3128051, 10011848, 32193840, 103955571, 336946034, 1095873115, 3575319049, 11697938232, 38374479841, 126190075741, 415889689954, 1373506798548 (list; graph; listen)

	OFFSET	`1,4`
	LINKS	`Index entries for sequences related to rooted trees`
	FORMULA	`Shifts left under Carlitz transform.` `Carlitz transform T(A(x)) has g.f. 1/(1-sum(k>0, (-1)^(k+1)*A(x^k))).`
	CROSSREFS	`Cf. A000081, A106362, A106363.` `Sequence in context: A007561 A107269 A086811 this_sequence A113040 A007002 A107885` `Adjacent sequences: A106358 A106359 A106360 this_sequence A106362 A106363 A106364`
	KEYWORD	`nonn,eigen`
	AUTHOR	`Christian G. Bower (bowerc(AT)usa.net), Apr 29 2005`

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.

AT&T Labs Research