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A024717 Sum of max{S(i,j): 1<=j<=i} for i = 1,2,...,n, where S(i,j) are Stirling numbers of the second kind. 1
1, 2, 5, 12, 37, 127, 477, 2178, 9948, 52473, 299203, 1678603, 10999915, 74436288, 495129561, 3777012165, 29485116951, 226947600351, 1936698603831, 17107631266510, 149618646613594, 1391581950147514, 13711650761944414, 134334225088016914, 1337497617263404414 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Robert Israel, Table of n, a(n) for n = 1..576

MAPLE

A002870:= [seq(max(seq(combinat:-stirling2(i, j), j=1..i)), i=1..50)]:

ListTools:-PartialSums(A002870); # Robert Israel, Jan 23 2018

CROSSREFS

First differences are in A002870.

Sequence in context: A280275 A009598 A002216 * A003724 A138314 A115277

Adjacent sequences:  A024714 A024715 A024716 * A024718 A024719 A024720

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified October 16 23:30 EDT 2021. Contains 348047 sequences. (Running on oeis4.)