Search: id:A106205
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%I A106205
%S A106205 1,31,2848,413823,68767135,12310047967,2309368876639,447436508910495,
%T A106205 88755684988520798,17924937024841839390,3671642907594608226078,
%U A106205 760722183234128461061246,159105706560247952472114973
%V A106205 1,31,-2848,413823,-68767135,12310047967,-2309368876639,447436508910495,
%W A106205 -88755684988520798,17924937024841839390,-3671642907594608226078,
%X A106205 760722183234128461061246,-159105706560247952472114973
%N A106205 Expansion of (q*j(q))^(1/24) where j(q) is the elliptic modular invariant 
               (A000521).
%F A106205 This is essentially the eighth root of the theta series of E_8 (A108091), 
               divided by the Dedekind eta function. - N. J. A. Sloane (njas(AT)research.att.com), 
               Aug 08 2005
%e A106205 1 + 31*q - 2848*q^2 + 413823*q^3 - 68767135*q^4 + 12310047967*q^5 - 2309368876639*q^6 
               + ...
%o A106205 (PARI) {a(n)=if(n<0,0, polcoeff( (ellj(x+x^2*O(x^n))*x)^(1/24),n))}
%Y A106205 Cf. A000521.
%Y A106205 Sequence in context: A159583 A062987 A136245 this_sequence A072913 A001237 
               A115736
%Y A106205 Adjacent sequences: A106202 A106203 A106204 this_sequence A106206 A106207 
               A106208
%K A106205 sign
%O A106205 0,2
%A A106205 Michael Somos, Apr 25 2005

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