A099773 - OEIS

A099773

Number of partitions of n into odd prime parts.

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