Search: id:A001937
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%I A001937 M2785 N1120
%S A001937 1,3,9,22,48,99,194,363,657,1155,1977,3312,5443,8787,13968,21894,33873,
%T A001937 51795,78345,117312,174033,255945,373353,540486,776848,1109040,1573209,
%U A001937 2218198,3109713,4335840,6014123,8300811,11402928,15593702,21232521
%N A001937 Coefficients of an elliptic function.
%D A001937 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001937 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001937 A. Cayley, A memoir on the transformation of elliptic functions, Collected 
               Mathematical Papers. Vols. 1-13, Cambridge Univ. Press, London, 1889-1897, 
               Vol. 9, p. 128.
%F A001937 G.f.: Product ( 1 - x^k )^(-c(k)); c(k) = 3, 3, 3, 0, 3, 3, 3, 0, ....
%t A001937 CoefficientList[ Series[Product[(1 - x^k)^(-3*Boole[Mod[k, 4] != 0]), 
               {k, 1, 101}], {x, 0, 100}], x] [From Olivier GERARD (olivier.gerard(AT)gmail.com), 
               May 06 2009]
%Y A001937 Cf. A001936, A079006, A001935, A083365, A001938, A093160, A001939, A001940, 
               A001941. [From Olivier GERARD (olivier.gerard(AT)gmail.com), May 
               06 2009]
%Y A001937 Sequence in context: A131477 A002128 A064808 this_sequence A086817 A000715 
               A034505
%Y A001937 Adjacent sequences: A001934 A001935 A001936 this_sequence A001938 A001939 
               A001940
%K A001937 nonn
%O A001937 0,2
%A A001937 N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
%E A001937 Corrected and extended by Simon Plouffe (simon.plouffe(AT)gmail.com)
%E A001937 Checked and more terms from Olivier GERARD (olivier.gerard(AT)gmail.com), 
               May 06 2009

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