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, 2, 5, 12, 37, 127, 477, 2178, 9948, 52473, 299203, 1678603, 10999915, 74436288, 495129561, 3777012165, 29485116951, 226947600351, 1936698603831, 17107631266510, 149618646613594, 1391581950147514, 13711650761944414, 134334225088016914, 1337497617263404414

Offset: 1

Author

Clark Kimberling

Keywords

• nonn

Links

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

Crossrefs

First differences are in A002870.

Programs

Maple

A002870:= [seq(max(seq(combinat:-stirling2(i,j),j=1..i)),i=1..50)]:
ListTools:-PartialSums(A002870); # Robert Israel, Jan 23 2018