id:A052322 - OEIS Search Results

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Number of labeled rooted trees with a forbidden limb of length 3.

+0
2

1, 2, 9, 40, 385, 4536, 66409, 1127792, 21981537, 483858640, 11873508361, 321497975448, 9522483900241, 306292854886760, 10632656242583145, 396223803663328096, 15776491521834720961, 668460175137505993248 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`A rooted tree with a forbidden limb of length k is a rooted tree where the path from any leaf inward hits a branching node or the root within k steps.`
	LINKS	`N. J. A. Sloane, Transforms` `Index entries for sequences related to rooted trees`
	FORMULA	`E.g.f. satisfies A(x)=x*exp(A(x)-x^3).`
	CROSSREFS	`Cf. A002955, A002988-A002992, A052319-A052329.` `Sequence in context: A052846 A056844 A002825 this_sequence A130767 A020698 A128752` `Adjacent sequences: A052319 A052320 A052321 this_sequence A052323 A052324 A052325`
	KEYWORD	`nonn,eigen`
	AUTHOR	`Christian G. Bower (bowerc(AT)usa.net), Dec 15 1999.`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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