id:A090347 - OEIS Search Results

Search: id:A090347

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Number of labeled trees with n nodes and even number of leaves minus number of labeled trees with n nodes and odd number of leaves.

+0
1

1, 3, 8, 5, -156, -1253, 48, 116937, 1236140, -4517689, -317599800, -3473788019, 43408737540, 2033846838675, 19004486417504, -643679274285679, -24665731809676452, -135665006897593601, 15018201730467027960 (list; graph; listen)

	OFFSET	`2,2`
	FORMULA	`Sum_{k=0..n} (-1)^kn!/k!stirling2(n-2, n-k).`
	CROSSREFS	`Cf. A055314.` `Sequence in context: A121164 A086872 A054792 this_sequence A125125 A016624 A021263` `Adjacent sequences: A090344 A090345 A090346 this_sequence A090348 A090349 A090350`
	KEYWORD	`sign`
	AUTHOR	`Vladeta Jovovic (vladeta(AT)Eunet.yu), Jan 28 2004`

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.

AT&T Labs Research