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A132959 Total number of all distinct list sizes in all partitions of [n] into lists, cf. A000262. 7
1, 3, 19, 109, 881, 7621, 77785, 854225, 10750465, 143737381, 2121714761, 33426065905, 568250246305, 10242445089605, 197388381934801, 4003553262384961, 86010508861504385, 1939950117886565125 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..440

FORMULA

E.g.f.: exp(x/(1-x))*Sum_{k>0}(1-exp(-x^k)).

MATHEMATICA

Rest[ Range[0, 20]! CoefficientList[ Series[ Exp[x/(1 - x)] Sum[(-x)^k/(k!*(x^k - 1)), {k, 25}], {x, 0, 20}], x]] (* Robert G. Wilson v, Sep 13 2007 *)

CROSSREFS

Cf. A052852, A132958, A132960, A132961, A132962, A132963.

Sequence in context: A334976 A103005 A162354 * A253811 A037154 A037774

Adjacent sequences:  A132956 A132957 A132958 * A132960 A132961 A132962

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Sep 06 2007

EXTENSIONS

More terms from Robert G. Wilson v, Sep 13 2007

STATUS

approved

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Last modified July 25 01:26 EDT 2021. Contains 346273 sequences. (Running on oeis4.)