Search: id:A067659
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%I A067659
%S A067659 0,1,1,1,1,1,2,2,3,4,5,6,8,9,11,14,16,19,23,27,32,38,44,52,61,71,82,96,
%T A067659 111,128,148,170,195,224,256,293,334,380,432,491,557,630,713,805,908,
%U A067659 1024,1152,1295,1455,1632,1829,2048,2291,2560,2859,3189,3554,3958,4404
%N A067659 Number of partitions of n into distinct parts such that number of parts 
               is an odd number.
%F A067659 For g.f. see under A067661.
%F A067659 (A000009(n)-A010815(n))/2. - Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 
               24 2002
%F A067659 Expansion of (1-phi(-q))/(2*chi(-q)) in powers of q where phi(),chi() 
               are Ramanujan theta functions. - Michael Somos Feb 14 2006
%o A067659 (PARI) {a(n)=local(A); if(n<0, 0, A=x*O(x^n); polcoeff( (eta(x^2+A)/eta(x+A)-eta(x+A))/
               2, n))} /* Michael Somos Feb 14 2006 */
%Y A067659 Sequence in context: A027198 A027197 A137793 this_sequence A153156 A017852 
               A029013
%Y A067659 Adjacent sequences: A067656 A067657 A067658 this_sequence A067660 A067661 
               A067662
%K A067659 easy,nonn
%O A067659 0,7
%A A067659 Naohiro Nomoto (n_nomoto(AT)yabumi.com), Feb 23 2002

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