Search: id:A092319
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%I A092319
%S A092319 1,0,3,1,5,1,7,4,10,4,12,9,15,9,20,17,23,17,28,27,36,28,41,43,50,44,62,
%T A092319 62,71,66,84,91,103,96,119,127,139,137,167,178,191,192,223,241,266,264,
%U A092319 302,331,351,360,411,439,469,485,542,587,628,646,714,773,819,854,945
%N A092319 Sum of smallest parts of all partitions of n into odd distinct parts.
%C A092319 a(n)=sum(A116860(n,k), k>=0). - Emeric Deutsch (deutsch(AT)duke.poly.edu), 
               Feb 27 2006
%F A092319 G.f.: Sum((2*n-1)*x^(2*n-1)*Product(1+x^(2*k+1), k = n .. infinity), 
               n = 1 .. infinity).
%e A092319 a(13)=15 because the partitions of 13 into distinct odd parts are [13],
               [9,3,1] and [7,5,1], with sum of the smallest terms 13+1+1=15.
%p A092319 f:=sum((2*n-1)*x^(2*n-1)*product(1+x^(2*k+1),k=n..40),n=1..40): fser:=simplify(series(f,
               x=0,66)): seq(coeff(fser,x^n),n=1..63); - Emeric Deutsch (deutsch(AT)duke.poly.edu), 
               Feb 27 2006
%Y A092319 Cf. A092316.
%Y A092319 Cf. A116860.
%Y A092319 Sequence in context: A136180 A095112 A160596 this_sequence A147410 A146623 
               A029669
%Y A092319 Adjacent sequences: A092316 A092317 A092318 this_sequence A092320 A092321 
               A092322
%K A092319 easy,nonn
%O A092319 1,3
%A A092319 Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 15 2004
%E A092319 More terms from Pab Ter (pabrlos(AT)yahoo.com), May 25 2004

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