%I A058550
%S A058550 1,24,196632,38263776,1610809368,29296875024,313495116768,2325336249792,
%T A058550 13195750342680,61004818143672,240029297071632,828545091454368,
%U A058550 2568152034827232,7269002558214096,19051479894545856,46708710975763776
%V A058550 1,-24,-196632,-38263776,-1610809368,-29296875024,-313495116768,-2325336249792,
%W A058550 -13195750342680,-61004818143672,-240029297071632,-828545091454368,
%X A058550 -2568152034827232,-7269002558214096,-19051479894545856,-46708710975763776
%N A058550 Eisenstein series E_14(q) (alternate convention E_7(q)).
%D A058550 R. C. Gunning, Lectures on Modular Forms. Princeton Univ. Press, Princeton, 
               NJ, 1962, p. 53.
%D A058550 N. Koblitz, Introduction to Elliptic Curves and Modular Forms, Springer-Verlag, 
               1984, see p. 111.
%H A058550 <a href="Sindx_Ed.html#Eisen">Index entries for sequences related to 
               Eisenstein series</a>
%p A058550 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(14);
%o A058550 (PARI) a(n)=if(n<1,n==0,-24*sigma(n,13))
%Y A058550 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 A058550 Sequence in context: A061527 A056947 A048057 this_sequence A145200 A007240 
               A061526
%Y A058550 Adjacent sequences: A058547 A058548 A058549 this_sequence A058551 A058552 
               A058553
%K A058550 sign
%O A058550 0,2
%A A058550 N. J. A. Sloane (njas(AT)research.att.com), Dec 25 2000