Search: id:A029828
Results 1-1 of 1 results found.

%I A029828
%S A029828 691,65520,134250480,11606736960,274945048560,3199218815520,
%T A029828 23782204031040,129554448266880,563087459516400,2056098632318640,
%U A029828 6555199353000480,18693620658498240,48705965462306880
%N A029828 Eisenstein series E_12(q) (alternate convention E_6(q)), multiplied by 
               691.
%D A029828 R. C. Gunning, Lectures on Modular Forms. Princeton Univ. Press, Princeton, 
               NJ, 1962, p. 53.
%D A029828 N. Koblitz, Introduction to Elliptic Curves and Modular Forms, Springer-Verlag, 
               1984, see p. 111.
%D A029828 J.-P. Serre, Course in Arithmetic, Chap. VII, Section 4.
%H A029828 <a href="Sindx_Ed.html#Eisen">Index entries for sequences related to 
               Eisenstein series</a>
%p A029828 E := proc(k) local n,t1; t1 := 1-(2*k/bernoulli(k))*add(sigma[k-1](n)*q^n,
               n=1..60); series(t1,q,60); end; E(12);
%o A029828 (PARI) a(n)=if(n<1,691*(n==0),65520*sigma(n,11))
%Y A029828 Cf. A037164.
%Y A029828 Cf. A006352 (E_2), A004009 (E_4), A013973 (E_6), A008410 (E_8), A013974 
               (E_10), A029828 (E_12), A058550 (E_14), A029829 (E_16), A029830 (E_20), 
               A029831 (E_24).
%Y A029828 Sequence in context: A029814 A135843 A130662 this_sequence A037149 A004240 
               A004241
%Y A029828 Adjacent sequences: A029825 A029826 A029827 this_sequence A029829 A029830 
               A029831
%K A029828 nonn
%O A029828 0,1
%A A029828 N. J. A. Sloane (njas(AT)research.att.com).

Search completed in 0.001 seconds