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A000559 Generalized Stirling numbers of second kind.
(Formerly M4858 N2076)
+0
3
1, 12, 110, 945, 8092, 70756, 638423, 5971350, 57996774, 585092607, 6128147610, 66579524648, 749542556193, 8733648533696, 105203108066962, 1308549777461505, 16787682400875456, 221901108871482760, 3018891886411332135, 42230736603244134242 (list; graph; listen)
OFFSET

3,2

REFERENCES

R. Fray, A generating function associated with the generalized Stirling numbers, Fib. Quart. 5 (1967), 356-366.

LINKS

P. Blasiak, K. A. Penson and A. I. Solomon, The general boson normal ordering problem.

FORMULA

E.g.f.: 1/3!*(exp(exp(x)-1)-1)^3. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Sep 28 2003

CROSSREFS

Cf. A000558, A046817.

Sequence in context: A037581 A081183 A069294 this_sequence A037714 A037616 A048532

Adjacent sequences: A000556 A000557 A000558 this_sequence A000560 A000561 A000562

KEYWORD

nonn,easy

AUTHOR

njas

EXTENSIONS

More terms from David W. Wilson (davidwwilson(AT)comcast.net), Jan 13, 2000.

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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