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A028418 Sum over all n! permutations of n letters of maximum cycle length. +0
7
1, 3, 13, 67, 411, 2911, 23563, 213543, 2149927, 23759791, 286370151, 3734929903, 52455166063, 788704078527, 12648867695311, 215433088624351, 3884791172487903, 73919882720901823, 1480542628345939807 (list; graph; listen)
OFFSET

1,2

REFERENCES

S. W. Golomb, Shift-Register Sequences, Holden-Day, San Francisco, 1967, p. 183.

LINKS

Ph. Flajolet and A. Odlyzko, Singularity analysis of generating functions, p. 22.

FORMULA

E.g.f.: Sum[k>=0, 1/(1-x) - exp(sum(j=1..k, x^j/j))].

CROSSREFS

Cf. A060014, A006128, A028417.

Sequence in context: A064062 A114191 A107592 this_sequence A080832 A020017 A060014

Adjacent sequences: A028415 A028416 A028417 this_sequence A028419 A028420 A028421

KEYWORD

nonn

AUTHOR

Joe Keane (jgk(AT)jgk.org)

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Sep 19 2002

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Last modified August 29 17:40 EDT 2008. Contains 143238 sequences.


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