Search: id:A002507
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%I A002507 M1542 N0602
%S A002507 1,2,5,24,23,76,249,168,599,1670,1026,3272,8529,5232,14062,35976,22337,
               51516,
%T A002507 131617,82568,169376,432636,273332,513584,1309800,830372,1456569,3709672,
%U A002507 2354215,3904696,9931407,6301120,9983208,25339626,16057040,24504584,62033318
%V A002507 1,2,-5,-24,-23,76,249,168,-599,-1670,-1026,3272,8529,5232,-14062,-35976,
               -22337,51516,
%W A002507 131617,82568,-169376,-432636,-273332,513584,1309800,830372,-1456569,-3709672,
%X A002507 -2354215,3904696,9931407,6301120,-9983208,-25339626,-16057040,24504584,
               62033318
%N A002507 Expansion of a modular function for Gamma_0(6).
%D A002507 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002507 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002507 Newman, Morris; Construction and application of a class of modular functions. 
               II. Proc. London Math. Soc. (3) 9 1959 373-387.
%F A002507 eta(2z)^10*eta(3z)^14/(eta(z)^2*eta(6z)^22)
%F A002507 Euler transform of period 6 sequence [2, -8, -12, -8, 2, 0, ...]. - Michael 
               Somos Nov 10 2005
%o A002507 (PARI) {a(n)=local(A); if(n<-3, 0, n+=3; A=x*O(x^n); polcoeff( eta(x^2+A)^10*eta(x^3+A)^14/ 
               eta(x+A)^2/eta(x^6+A)^22, n))} /* Michael Somos Nov 10 2005 */
%Y A002507 Cf. A002508.
%Y A002507 Sequence in context: A158889 A078125 A034692 this_sequence A137094 A130379 
               A047147
%Y A002507 Adjacent sequences: A002504 A002505 A002506 this_sequence A002508 A002509 
               A002510
%K A002507 sign,easy
%O A002507 -3,2
%A A002507 N. J. A. Sloane (njas(AT)research.att.com).
%E A002507 More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jan 14 2001

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