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A024417 s(n,a(n)) = max{s(n,k): k=1,2,...,n}, n >= 1, where s(n,k) = Stirling numbers of the second kind. 3
1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

FORMULA

a(n) ~ n/LambertW(n) - 1 (conjecture). - Mats Granvik, Oct 16 2013

MATHEMATICA

a[n_] := (m = Max[t = Table[ StirlingS2[n, k], {k, 1, n}]]; Position[t, m][[1, 1]]); Table[a[n], {n, 1, 77}] (* Jean-Fran├žois Alcover, Nov 15 2011 *)

CROSSREFS

Cf. A002870 (maximum values), A008277 (triangle of Stirling numbers of the second kind).

Sequence in context: A030530 A084500 A084557 * A060021 A000006 A061017

Adjacent sequences:  A024414 A024415 A024416 * A024418 A024419 A024420

KEYWORD

nonn

AUTHOR

Clark Kimberling

EXTENSIONS

More terms retrieved from the b-file by R. J. Mathar, Sep 17 2008

STATUS

approved

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Last modified April 21 06:42 EDT 2019. Contains 322310 sequences. (Running on oeis4.)