Search: id:A006305
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%I A006305 M1014
%S A006305 1,2,4,6,10,16,25,38,58,84,122,174,244,338,465,630,850,1136,1508,1988,
%T A006305 2608,3398,4408,5688,7306,9342,11900,15090,19070,24008,30122,37666,
%U A006305 46955,58348,72302,89338,110094,135316,165912,202924,247632,301508
%N A006305 Taylor series related to one in Ramanujan's Lost Notebook.
%D A006305 G. E. Andrews, Mordell integrals and Ramanujan's "Lost" Notebook, pp. 
               10-48 of Analytic Number Theory (Philadelphia 1980), Lect. Notes 
               Math. 899 (1981).
%D A006305 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%F A006305 G.f.: sum for n >= 0 of q^(n^2+n) (1+q^2)(1+q^4)...(1+q^(2n))/((1-q)^2 
               (1-q^2) (1-q^3)^2 (1-q^4) ... (1-q^(2n)) (1-q^(2n+1))^2)
%t A006305 Series[Sum[q^(n^2+n)/(1-q)^2 Product[(1+q^(2k))/((1-q^(2k))(1-q^(2k+1))^2), 
               {k, 1, n}], {n, 0, 9}], {q, 0, 100}]
%Y A006305 Cf. A006304, A006306.
%Y A006305 Sequence in context: A098151 A132002 A028445 this_sequence A067247 A017985 
               A028488
%Y A006305 Adjacent sequences: A006302 A006303 A006304 this_sequence A006306 A006307 
               A006308
%K A006305 nonn,easy,nice
%O A006305 0,2
%A A006305 N. J. A. Sloane (njas(AT)research.att.com).
%E A006305 Corrected and extended by Dean Hickerson (dean.hickerson(AT)yahoo.com), 
               Dec 13 1999

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