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A102291 Total number of prime parts in all compositions of n. 2
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; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..30.

FORMULA

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

CROSSREFS

Cf. A037032.

Sequence in context: A305652 A208771 A036884 * A034691 A317546 A319001

Adjacent sequences:  A102288 A102289 A102290 * A102292 A102293 A102294

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Feb 19 2005

EXTENSIONS

More terms from Joshua Zucker, May 10 2006

STATUS

approved

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Last modified February 20 06:26 EST 2019. Contains 320332 sequences. (Running on oeis4.)