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Search: id:A000504
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| A000504 |
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S2(j,2j+3) where S2(n,k) is a 2-associated Stirling number of the second kind.
(Formerly M5315 N2309)
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+0
3
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| 1, 56, 1918, 56980, 1636635, 47507460, 1422280860, 44346982680, 1446733012725, 49473074851200, 1774073543492250, 66681131440423500, 2624634287988087375, 108060337458000427500, 4647703259223579555000, 208548093035794902390000, 9749651260035434678555625
(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+3)))/j!); for i from 1 to 20 do S2a(i); od;
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CROSSREFS
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Cf. A008299, A000497.
Sequence in context: A050989 A140406 A075512 this_sequence A130646 A038649 A004375
Adjacent sequences: A000501 A000502 A000503 this_sequence A000505 A000506 A000507
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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, Maple program from Barbara Haas Margolius (margolius(AT)math.csuohio.edu), Dec 12, 2000.
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