id:A038052 - OEIS Search Results

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Number of labeled trees of nonempty sets with n points. (Each node is a set of 1 or more points.)

+0
5

1, 1, 2, 7, 42, 376, 4513, 68090, 1238968, 26416729, 646140364, 17837852044, 548713088399, 18612963873492, 690271321314292, 27785827303491579, 1206582732097720126, 56224025231569020724, 2798445211000659147033 (list; graph; listen)

	OFFSET	`0,3`
	LINKS	`T. D. Noe, Table of n, a(n) for n=0..100` `Index entries for sequences related to trees`
	FORMULA	`E.g.f.: B(e^x-1) where B is e.g.f. of A000272.` `a(n) = Sum_{k=1..n} Stirling2(n, k)*k^(k-2). - Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 20 2003`
	CROSSREFS	`Cf. A036250, A048802.` `Sequence in context: A109172 A131682 A158840 this_sequence A066383 A011802 A007065` `Adjacent sequences: A038049 A038050 A038051 this_sequence A038053 A038054 A038055`
	KEYWORD	`nonn,nice,easy`
	AUTHOR	`Christian G. Bower (bowerc(AT)usa.net), Jan 04 1999.`

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.

AT&T Labs Research