id:A052324 - OEIS Search Results

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

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0, 1, 1, 2, 5, 19, 90, 520, 3475, 26550, 228050, 2177020, 22860090, 261870070, 3249793360, 43432062300, 621911561150, 9498946124800, 154152712434600, 2648808048264400, 48043086765929200, 917249983543337400 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`In an increasing rooted tree, nodes are numbered and numbers increase as you move away from root.` `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)=exp(A(x)-x^3).`
	CROSSREFS	`Cf. A002955, A002988-A002992, A052319-A052329.` `Sequence in context: A058132 A002851 A124348 this_sequence A020115 A103816 A052169` `Adjacent sequences: A052321 A052322 A052323 this_sequence A052325 A052326 A052327`
	KEYWORD	`nonn,eigen`
	AUTHOR	`Christian G. Bower (bowerc(AT)usa.net), Dec 15 1999.`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

AT&T Labs Research