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A132963 Total number of distinct block sizes in all partitions of [n] . 6
1, 2, 8, 25, 102, 439, 2067, 10406, 56754, 328257, 2015818, 13067366, 89192170, 638321285, 4779442602, 37332643831, 303635437532, 2565592977205, 22483754207839, 204013083946460, 1913880812797792, 18536832515581167 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..500

FORMULA

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

MATHEMATICA

Rest[ Range[0, 23]! CoefficientList[ Series[ Exp[ Exp[x] - 1] Sum[1 - Exp[ -x^k/k! ], {k, 30}], {x, 0, 23}], x]] (* Robert G. Wilson v, Sep 13 2007 *)

CROSSREFS

Cf. A005493, A132958, A132959, A132960, A132961, A132962.

Sequence in context: A281338 A036367 A115256 * A122404 A150670 A150671

Adjacent sequences:  A132960 A132961 A132962 * A132964 A132965 A132966

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 September 26 20:34 EDT 2021. Contains 347672 sequences. (Running on oeis4.)