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Search: id:A000276
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| A000276 |
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Associated Stirling numbers.
(Formerly M3075 N1248)
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+0
5
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| 3, 20, 130, 924, 7308, 64224, 623376, 6636960, 76998240, 967524480, 13096736640, 190060335360, 2944310342400, 48503818137600, 846795372595200, 15618926924697600, 303517672703078400
(list; graph; listen)
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OFFSET
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4,1
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REFERENCES
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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).
J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 75.
L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 256.
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FORMULA
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a(n) = (n-1)!*Sum _{i=2..n-2} 1/i = (n-1)!*(Psi(n-1)+gamma-1). - Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 19 2003
With alternating signs: Ramanujan polynomials psi_3(n-2, x) evaluated at 1. - Ralf Stephan, Apr 16 2004
E.g.f. ((x+ln(1-x))^2)/2. [Corrected by Vladeta Jovovic (vladeta(AT)eunet.rs), May 03 2008]
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CROSSREFS
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A diagonal of triangle in A008306.
Cf. A052518, A052881.
Sequence in context: A037795 A167590 A138910 this_sequence A056306 A056298 A114479
Adjacent sequences: A000273 A000274 A000275 this_sequence A000277 A000278 A000279
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Christian G. Bower (bowerc(AT)usa.net).
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