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A097147
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Total sum of minimum block sizes in all partitions of n-set.
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5
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1, 3, 7, 21, 66, 258, 1079, 4987, 25195, 136723, 789438, 4863268, 31693715, 217331845, 1564583770, 11795630861, 92833623206, 760811482322, 6479991883525, 57256139503047, 523919025038279, 4956976879724565, 48424420955966635, 487810283307069696
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OFFSET
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1,2
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 1..400
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FORMULA
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E.g.f.: Sum_{k>0} (-1+exp(Sum_{j>=k} x^j/j!)).
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MAPLE
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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
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MATHEMATICA
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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 *)
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CROSSREFS
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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
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KEYWORD
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easy,nonn
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AUTHOR
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Vladeta Jovovic, Jul 27 2004
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EXTENSIONS
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More terms from Max Alekseyev, Apr 29 2010
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STATUS
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approved
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