%I A134340
%S A134340 1,5,12,22,35,50,70,92,117,145,170,210,250,287,330,362,425,477,532,600,
%T A134340 626,715,782,850,925,962,1100,1162,1247,1335,1370,1520,1617,1750,1810,
%U A134340 1850,2040,2147,2262,2380,2451,2625,2752,2882,3015,3005,3290,3500,3577
%N A134340 Expansion of q^(-5/6) * eta(q^2)^8 * eta(q^3)^3 / eta(q)^5 in powers 
               of q.
%F A134340 Euler transform of period 6 sequence [ 5, -3, 2, -3, 5, -6, ...].
%e A134340 q^5 + 5*q^11 + 12*q^17 + 22*q^23 + 35*q^29 + 50*q^35 + 70*q^41 + ...
%o A134340 (PARI) {a(n) = if( n<0, 0, n = 6*n + 5; sumdiv(n, d, d^2 * kronecker( 
               -3, d)) / -24 )}
%o A134340 (PARI) {a(n) = local(A); if( n<0, 0, A = x * O(x^n); polcoeff( eta(x^2 
               + A)^8 * eta(x^3 + A)^3 / eta(x + A)^5, n))}
%Y A134340 A109041(6*n+5) = 216 * a(n). A103440(6*n+5) = -24 * a(n).
%Y A134340 Sequence in context: A038794 A131976 A074376 this_sequence A000326 A022795 
               A025734
%Y A134340 Adjacent sequences: A134337 A134338 A134339 this_sequence A134341 A134342 
               A134343
%K A134340 nonn
%O A134340 0,2
%A A134340 Michael Somos, Oct 21 2007