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 A097147 Total sum of minimum block sizes in all partitions of n-set. 5
 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. Column k=1 of A319298. 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 January 22 10:25 EST 2020. Contains 331144 sequences. (Running on oeis4.)