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A000483
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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)
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5
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15, 210, 2380, 26432, 303660, 3678840, 47324376, 647536032, 9418945536, 145410580224, 2377609752960, 41082721413120, 748459539843840, 14345340443665920, 288650580508961280, 6085390148673177600, 134167064248901376000, 3088040233895705088000, 74077507611407752704000, 1849221425299053367296000, 47969609362122096230400000, 1291318500161265949900800000, 36028178204253379058073600000, 1040587242582468132050042880000, 31078390740641984881690214400000, 958798866109721191870139596800000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 6,1
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REFERENCES
| 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.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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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
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CROSSREFS
| Cf. A000907, A001784, A001785. A diagonal of triangle in A008306.
Cf. A000276.
Sequence in context: A067560 A019553 A112496 * A162785 A076139 A163091
Adjacent sequences: A000480 A000481 A000482 * A000484 A000485 A000486
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Barbara Haas Margolius (margolius(AT)math.csuohio.edu), Dec 14 2000
More terms from Sean A. Irvine (sairvin(AT)xtra.co.nz), Nov 14 2010
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