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A000559
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Generalized Stirling numbers of second kind.
(Formerly M4858 N2076)
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3
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1, 12, 110, 945, 8092, 70756, 638423, 5971350, 57996774, 585092607, 6128147610, 66579524648, 749542556193, 8733648533696, 105203108066962, 1308549777461505, 16787682400875456, 221901108871482760, 3018891886411332135, 42230736603244134242
(list; graph; refs; listen; history; internal format)
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OFFSET
| 3,2
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REFERENCES
| R. Fray, A generating function associated with the generalized Stirling numbers, Fib. Quart. 5 (1967), 356-366.
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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LINKS
| P. Blasiak, K. A. Penson and A. I. Solomon, The general boson normal ordering problem.
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FORMULA
| E.g.f.: 1/3!*(exp(exp(x)-1)-1)^3. - Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 28 2003
a(n) = sum(stirlingS2(n,k)*stirlingS2(k,3), k=0..n)
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CROSSREFS
| Cf. A000558, A046817.
Sequence in context: A177071 A081183 A069294 * A037714 A037616 A048532
Adjacent sequences: A000556 A000557 A000558 * A000560 A000561 A000562
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from David W. Wilson (davidwwilson(AT)comcast.net), Jan 13, 2000.
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