Search: id:A015723
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%I A015723
%S A015723 1,1,3,3,5,8,10,13,18,25,30,40,49,63,80,98,119,149,179,218,266,318,380,
%T A015723 455,541,640,760,895,1050,1234,1442,1679,1960,2272,2635,3052,3520,4054,
%U A015723 4669,5359,6142,7035,8037,9170,10460,11896,13517
%N A015723 Number of parts in all partitions of n into distinct parts.
%F A015723 G.f.: Sum x^k/(1+x^k); k=1..inf * Product (1+x^m); m=1..inf. Convolution 
               of A048272 and A000009. - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Nov 26 2002
%F A015723 G.f.: Sum_{k=1..inf} k*x^(k*(k+1)/2)/Product_{i=1..k}(1-x^i) . - Vladeta 
               Jovovic (vladeta(AT)eunet.rs), Sep 21 2005
%Y A015723 Sequence in context: A105888 A123632 A039868 this_sequence A116645 A039872 
               A079965
%Y A015723 Adjacent sequences: A015720 A015721 A015722 this_sequence A015724 A015725 
               A015726
%K A015723 nonn
%O A015723 1,3
%A A015723 Clark Kimberling (ck6(AT)evansville.edu)
%E A015723 Extended and corrected by Naohiro Nomoto (n_nomoto(AT)yabumi.com), Feb 
               24 2002

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