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A090347 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, 3, 8, 5, -156, -1253, 48, 116937, 1236140, -4517689, -317599800, -3473788019, 43408737540, 2033846838675, 19004486417504, -643679274285679, -24665731809676452, -135665006897593601, 15018201730467027960 (list; graph; refs; listen; history; internal format)
OFFSET

2,2

FORMULA

Sum_{k=0..n} (-1)^k*n!/k!*stirling2(n-2, n-k).

CROSSREFS

Cf. A055314.

Sequence in context: A086872 A054792 A144872 * A125125 A016624 A021263

Adjacent sequences:  A090344 A090345 A090346 * A090348 A090349 A090350

KEYWORD

sign

AUTHOR

Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 28 2004

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Last modified February 18 00:14 EST 2012. Contains 206085 sequences.