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Search: id:A102291
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A102291 Total number of prime parts in all compositions of n. +0
1
0, 1, 3, 7, 18, 42, 98, 222, 497, 1100, 2413, 5250, 11350, 24398, 52193, 111180, 235949, 499074, 1052502, 2213710, 4644833, 9724492, 20318637, 42376578, 88231765, 183420748, 380755932, 789340736, 1634339217, 3379993922 (list; graph; listen)
OFFSET

1,3

FORMULA

G.f.: Sum(x^prime(k)*(1-x)^2/(1-2*x)^2, k=1..infinity).

CROSSREFS

Cf. A037032.

Sequence in context: A026533 A131630 A036884 this_sequence A034691 A000633 A036669

Adjacent sequences: A102288 A102289 A102290 this_sequence A102292 A102293 A102294

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic (vladeta(AT)Eunet.yu), Feb 19 2005

EXTENSIONS

More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 10 2006

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.


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