%I A134783
%S A134783 1,1,8,22,42,70,155,246,421,722,1101,1730,2761,4062,6106,9040,13065,
%T A134783 18806,27081,37950,53183,74290,102213,140048,191612,258426,348300,
%U A134783 467484,622023,825016,1090957,1432290,1875930,2448610,3179136,4114996
%N A134783 McKay-Thompson series of class 15A for the Monster group with a(0) = 
               1.
%D A134783 M. Koike, Matheiu group M24 and modular forms, Nagoya Math. J., 99 (1985), 
               147-157. MR0805086 (87e:11060)
%H A134783 <a href="Sindx_Mat.html#McKay_Thompson">Index entries for McKay-Thompson 
               series for Monster simple group</a>
%F A134783 Associated with permutations in Mathieu group M24 of shape (15)(5)(3)(1).
%F A134783 G.f. is Fourier series of a level 15 modular function. f(-1/ (15 t)) 
               = f(t) where q = exp(2 pi i t).
%e A134783 1/q + 1 + 8*q + 22*q^2 + 42*q^3 + 70*q^4 + 155*q^5 + 246*q^6 + 421*q^7 
               + ...
%o A134783 (PARI) {a(n) = local(A); if( n<-1, 0, A = x^2 * O(x^n); A = (eta(x + 
               A) * eta(x^5 + A) / ( eta(x^3 + A) * eta(x^15 + A) ))^2 / x; polcoeff( 
               (3 + A + 9 / A), n))}
%Y A134783 A058498(n) = a(n) unless n=0. Convolution with A030184 is A028998.
%Y A134783 Sequence in context: A030999 A113744 A058508 this_sequence A069099 A145067 
               A112684
%Y A134783 Adjacent sequences: A134780 A134781 A134782 this_sequence A134784 A134785 
               A134786
%K A134783 nonn
%O A134783 -1,3
%A A134783 Michael Somos, Nov 22 2007