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Search: id:A000497
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| A000497 |
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S2(j,2j+2) where S2(n,k) is a 2-associated Stirling number of the second kind.
(Formerly M5186 N2254)
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+0
2
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| 1, 25, 490, 9450, 190575, 4099095, 94594500, 2343240900, 62199262125, 1764494857125, 53338158823950, 1712934942468750, 58274046742786875, 2094379201311271875, 79318164037837725000, 3157886388887074845000
(list; graph; listen)
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OFFSET
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1,2
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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).
L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 256.
F. N. David and D. E. Barton, Combinatorial Chance. Hafner, NY, 1962, p. 296.
M. Ward, The representations of Stirling's numbers and Stirling's polynomials as sums of factorials, Amer. J. Math., 56 (1934), 87-95.
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MAPLE
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gf := (u, t)->exp(u*(exp(t)-1-t)); S2a := j->simplify(subs(u=0, t=0, diff(gf(u, t), u$j, t$(2*j+2)))/j!); for i from 1 to 20 do S2a(i); od;
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CROSSREFS
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Cf. A008299, A000504.
Sequence in context: A014927 A059946 A118445 this_sequence A028341 A144942 A122140
Adjacent sequences: A000494 A000495 A000496 this_sequence A000498 A000499 A000500
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KEYWORD
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nonn,nice,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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More terms, Maple program from Barbara Haas Margolius (margolius(AT)math.csuohio.edu), Dec 12, 2000.
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