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A028417 Sum over all n! permutations of n elements of minimum lengths of cycles. 7
1, 3, 10, 45, 236, 1505, 10914, 90601, 837304, 8610129, 96625970, 1184891081, 15665288484, 223149696601, 3394965018886, 55123430466945, 948479737691504, 17289345305870561, 332019600921360594, 6713316975465246889 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..20.

FORMULA

E.g.f.: Sum[k>0, -1+ exp(Sum(j>=k, x^j/j))]. - Vladeta Jovovic, Jul 26 2004

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. A028418, A046746, A006128.

Cf. A005225.

Sequence in context: A096752 A211193 A134018 * A060311 A184947 A207652

Adjacent sequences:  A028414 A028415 A028416 * A028418 A028419 A028420

KEYWORD

nonn,changed

AUTHOR

Joe Keane (jgk(AT)jgk.org)

EXTENSIONS

More terms from Vladeta Jovovic, Sep 19 2002

STATUS

approved

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Last modified May 22 02:35 EDT 2013. Contains 225510 sequences.