%I A055922
%S A055922 1,1,1,3,2,5,6,9,9,16,20,25,32,40,54,69,84,101,136,156,202,244,306,357,
%T A055922 448,527,652,773,944,1103,1346,1574,1885,2228,2640,3106,3684,4302,5052,
%U A055922 5931,6924,8079,9416,10958,12718,14824,17078,19820,22860,26433
%N A055922 Number of partitions of n in which each part occurs an odd number (or 
               0) times.
%D A055922 F. C. Auluck, K. S. Singwi and B. K. Agarwala, On a new type of partition, 
               Proc. Nat. Inst. Sci. India 16 (1950) 147-156.
%F A055922 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 odd numbers.
%F A055922 G.f.: Product_{i>0} (1+x^i-x^(2*i))/(1-x^(2*i)). - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Feb 03 2004
%Y A055922 Cf. A000041, A007690, A055923.
%Y A055922 Sequence in context: A154437 A083236 A079973 this_sequence A050061 A058638 
               A139140
%Y A055922 Adjacent sequences: A055919 A055920 A055921 this_sequence A055923 A055924 
               A055925
%K A055922 nonn
%O A055922 0,4
%A A055922 Christian G. Bower (bowerc(AT)usa.net), Jun 23 2000