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A002870
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Largest Stirling numbers of second kind: a(n) = max_{k=1..n) S2(n,k).
(Formerly M2690 N1077)
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3
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1, 1, 3, 7, 25, 90, 350, 1701, 7770, 42525, 246730, 1379400, 9321312, 63436373, 420693273, 3281882604, 25708104786, 197462483400, 1709751003480, 15170932662679, 132511015347084, 1241963303533920, 12320068811796900
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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REFERENCES
| T. S. Motzkin, Sorting numbers ...: for a link to this paper see A000262.
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.
T. S. Motzkin, Sorting numbers for cylinders and other classification numbers, in Combinatorics, Proc. Symp. Pure Math. 19, AMS, 1971, pp. 167-176.
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
| T. D. Noe, Table of n, a(n) for n=1..100
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].
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MATHEMATICA
| a[n_] := Max[ Table[ StirlingS2[n, k], {k, 1, n}]]; Table[a[n], {n, 1, 23}] (* From Jean-François Alcover, Nov 15 2011 *)
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CROSSREFS
| Cf. A008277 (triangle of Stirling numbers of the second kind), A024417 (k at which the maximum occurs)
Sequence in context: A148738 A148739 A129084 * A096579 A120540 A176829
Adjacent sequences: A002867 A002868 A002869 * A002871 A002872 A002873
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KEYWORD
| nonn,nice,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jul 10 2000
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