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A097147 Total sum of minimum block sizes in all partitions of n-set. 4
1, 3, 7, 21, 66, 258, 1079, 4987, 25195, 136723, 789438, 4863268, 31693715, 217331845, 1564583770, 11795630861, 92833623206, 760811482322, 6479991883525, 57256139503047, 523919025038279, 4956976879724565, 48424420955966635, 487810283307069696 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..400

FORMULA

E.g.f.: Sum_{k>0} (-1+exp(Sum_{j>=k} x^j/j!)).

MAPLE

g:= proc(n, i, p) option remember; `if`(n=0, (i+1)*p!,

      `if`(i<1, 0, add(g(n-i*j, i-1, p+j*i)/j!/i!^j, j=0..n/i)))

    end:

a:= n-> g(n$2, 0):

seq(a(n), n=1..30);  # Alois P. Heinz, Mar 06 2015

MATHEMATICA

Drop[Apply[Plus, Table[nn=25; Range[0, nn]!CoefficientList[Series[Exp[Sum[ x^i/i!, {i, n, nn}]]-1, {x, 0, nn}], x], {n, 1, nn}]], 1]  (* Geoffrey Critzer, Jan 10 2013 *)

CROSSREFS

Cf. A028417, A028418, A046746, A006128, A097145, A097146, A097148.

Sequence in context: A148676 A105864 A130380 * A148677 A240506 A037127

Adjacent sequences:  A097144 A097145 A097146 * A097148 A097149 A097150

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Jul 27 2004

EXTENSIONS

More terms from Max Alekseyev, Apr 29 2010

STATUS

approved

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Last modified July 22 10:28 EDT 2018. Contains 312891 sequences. (Running on oeis4.)