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A000483 Associated Stirling numbers: second order reciprocal Stirling numbers (Fekete) [[n \over 3]]. The number of 3-orbit permutations of an n-set with at least 2 elements in each orbit.
(Formerly M4988 N2145)
+0
6
15, 210, 2380, 26432, 303660, 3678840, 47324376, 647536032, 9418945536, 145410580224, 2377609752960, 41082721413120, 748459539843840, 14345340443665920, 288650580508961280, 6085390148673177600 (list; graph; listen)
OFFSET

6,1

REFERENCES

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

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 256.

A. E. Fekete, Apropos two notes on notation, Amer. Math. Monthly, 101 (1994), 771-778.

J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 75.

FORMULA

With alternating signs: Ramanujan polynomials psi_4(n-3, x) evaluated at 1. - Ralf Stephan, Apr 16 2004

E.g.f.: -((x+ln(1-x))^3)/6. - Vladeta Jovovic (vladeta(AT)eunet.rs), May 03 2008

CROSSREFS

Cf. A000907, A001784, A001785. A diagonal of triangle in A008306.

Cf. A000276.

Sequence in context: A067560 A019553 A112496 this_sequence A076139 A001880 A113362

Adjacent sequences: A000480 A000481 A000482 this_sequence A000484 A000485 A000486

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

More terms from Barbara Haas Margolius (margolius(AT)math.csuohio.edu), Dec 14 2000

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Last modified November 22 14:50 EST 2009. Contains 167310 sequences.


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