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A099773 Number of partitions of n into odd prime parts. 7
1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 5, 5, 6, 7, 7, 9, 10, 11, 12, 14, 15, 17, 20, 21, 24, 26, 29, 33, 35, 40, 44, 47, 53, 58, 64, 70, 77, 84, 91, 101, 110, 120, 130, 142, 155, 168, 184, 199, 215, 234, 254, 275, 298, 323, 348, 376, 407, 439, 474, 511, 551, 592 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,11

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..5000

FORMULA

G.f.: 1/Product_{k>1} (1-x^prime(k)).

MATHEMATICA

CoefficientList[ Series[ Product[1/(1 - x^Prime[i]), {i, 2, 25}], {x, 0, 70}], x] (* Robert G. Wilson v, Jun 14 2006 *)

PROG

(Haskell)

a099773 = p a065091_list where

   p _      0 = 1

   p ks'@(k:ks) m = if m < k then 0 else p ks' (m - k) + p ks m

-- Reinhard Zumkeller, Aug 05 2012

CROSSREFS

Cf. A000607, A024939.

Sequence in context: A029249 A025770 A283875 * A140471 A029061 A081607

Adjacent sequences:  A099770 A099771 A099772 * A099774 A099775 A099776

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Nov 11 2004

STATUS

approved

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Last modified February 21 22:56 EST 2018. Contains 299427 sequences. (Running on oeis4.)