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Search: id:A000771
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| A000771 |
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Stirling numbers of second kind.
(Formerly M5201 N2263)
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+0
5
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| 1, 28, 462, 5880, 63987, 627396, 5715424, 49329280, 408741333, 3281882604, 25708104786, 197462483400, 1492924634839, 11143554045652, 82310957214948, 602762379967440, 4382641999117305
(list; graph; listen)
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OFFSET
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7,2
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COMMENT
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G.f.: x^7/product(1-k*x,k=1..7). E.g.f.: ((exp(x)-1)^7)/7!.
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REFERENCES
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 835.
F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 223.
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
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T. D. Noe, Table of n, a(n) for n=7..200
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 350
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MATHEMATICA
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lst={}; Do[f=StirlingS2[n, 7]; AppendTo[lst, f], {n, 7, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 27 2008]
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CROSSREFS
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a(n)= A008277(n, 7) (Stirling2 triangle).
Sequence in context: A007833 A080315 A022752 this_sequence A079518 A160060 A115226
Adjacent sequences: A000768 A000769 A000770 this_sequence A000772 A000773 A000774
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KEYWORD
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nonn,easy
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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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Two more terms from Neven Juric, Oct 22 2009
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