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A005431 Embeddings of n-bouquet in sphere.
(Formerly M3674)
+0
2
1, 1, 4, 40, 672, 16128, 506880, 19768320, 922521600, 50185175040, 3120605429760, 218442380083200, 17004899126476800, 1457562782269440000, 136427876420419584000, 13847429456672587776000 (list; graph; listen)
OFFSET

0,3

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

K. Casteels and B. Stevens, Universal cycles of (n-1)-partitions of an n-set, Discr. Math., 309 (2009), 5332-5340. See Cor. 12 [From N. J. A. Sloane, Sep 15 2009]

J. L. Gross et al., Genus distributions for bouquets of circles, J. Combin. Theory, B 47 (1989), 292-306.

J. L. Gross and J. Yellen, eds., Handbook of Graph Theory, CRC Press, 2004; p. 649.

FORMULA

n*a(n) = 4(2n-3)(n-2)a(n-1).

2^n * (2n-1)!/(n+1)!

CROSSREFS

Sequence in context: A141011 A090359 A049308 this_sequence A153849 A010792 A064422

Adjacent sequences: A005428 A005429 A005430 this_sequence A005432 A005433 A005434

KEYWORD

easy,nonn,nice

AUTHOR

Simon Plouffe, N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Description corrected Apr 15 1998 by Wim van Dam (wimvdam(AT)mildred.physics.ox.ac.uk)

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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