%I A055923
%S A055923 1,0,1,1,1,1,3,2,3,4,4,6,8,8,10,13,13,20,20,24,26,38,35,51,51,65,67,92,
%T A055923 86,121,117,153,155,209,197,270,262,339,341,444,425,565,555,703,711,
%U A055923 903,884,1135,1128,1397,1430,1766,1757,2193,2214,2691,2762,3344
%N A055923 Number of partitions of n in which each part occurs a prime number (or 
               0) times.
%F A055923 EULER transform of b where b has g.f. Sum {k>0} c(k)*x^k/(1-x^k) where 
               c is inverse EULER transform of characteristic function of prime 
               numbers.
%F A055923 G.f.: Product(1+Sum(x^(i*prime(k)), k=1..infinity), i=1..infinity). - 
               Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 08 2005
%Y A055923 Cf. A000041, A007690, A055922.
%Y A055923 Sequence in context: A077070 A075988 A029150 this_sequence A035634 A091563 
               A161985
%Y A055923 Adjacent sequences: A055920 A055921 A055922 this_sequence A055924 A055925 
               A055926
%K A055923 nonn
%O A055923 0,7
%A A055923 Christian G. Bower (bowerc(AT)usa.net), Jun 23 2000