Search: id:A128525
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%I A128525
%S A128525 1,6,17,46,116,252,533,1034,1961,3540,6253,10654,17897,29284,47265,
%T A128525 74868,117158,180608,275562,415300,620210,916860,1344251,1953974,
%U A128525 2819664,4038300,5746031,8122072,11413112,15943576,22153909,30620666
%N A128525 McKay-Thompson series of class 11A for the Monster Group with a(0) = 
               6.
%H A128525 <a href="Sindx_Mat.html#McKay_Thompson">Index entries for McKay-Thompson 
               series for Monster simple group</a>
%F A128525 G.f. is Fourier series of a level 11 modular function. f(-1/(11t))= f(t) 
               where q= exp(2 pi i t).
%F A128525 G.f. A(x) satisfies 0= f(A(x), A(x^2)) where f(u, v)= u^2+ v^2 -u^2*v^2 
               +12*u*v*(u+v) -20*(u^2+v^2) -53*u*v +56*(u+v) -44.
%F A128525 G.f. A(x) satisfies 0= f(A(x), A(x^2), A(x^4)) where f(u, v, w)= u^2 
               +w^2 +u*w -v^2*(u+w) +12*v^2 +12*v*(u+w) -20*(u+w) -53*v +56.
%F A128525 Expansion of (1 + 3*F)^2* (1/F + 1 + 3*F) where F = eta(q^3)* eta(q^33)/ 
               (eta(q)* eta(q^11)) in powers of q.
%e A128525 1/q + 6 + 17*q + 46*q^2 + 116*q^3 + 252*q^4 + 533*q^5 + 1034*q^6 + ...
%o A128525 (PARI) {a(n)= local(A); if(n<-1, 0, n++; A=x*O(x^n); A=x* eta(x^3+A)* 
               eta(x^33+A)/ eta(x+A)/ eta(x^11+A); polcoeff( (1+ 3*A)^2* (1/A+ 1+ 
               3*A), n-1))}
%Y A128525 A058205(n)=a(n) if n nonzero.
%Y A128525 Sequence in context: A048746 A026382 A054492 this_sequence A083334 A088016 
               A010330
%Y A128525 Adjacent sequences: A128522 A128523 A128524 this_sequence A128526 A128527 
               A128528
%K A128525 nonn
%O A128525 -1,2
%A A128525 Michael Somos, Mar 07 2007

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