%I A135467
%S A135467 1,2,5,10,13,22,30,40,60,78,101,132,170,210,273,342,409,514,625,748,917,
%T A135467 1102,1300,1570,1863,2186,2589,3034,3540,4148,4838,5584,6489,7500,8621,
%U A135467 9958,11417,13046,14960,17066,19417,22122,25119,28450,32253,36478
%V A135467 1,-2,-5,10,13,-22,-30,40,60,-78,-101,132,170,-210,-273,342,409,-514,-625,
               748,917,
%W A135467 -1102,-1300,1570,1863,-2186,-2589,3034,3540,-4148,-4838,5584,6489,-7500,
               -8621,9958,
%X A135467 11417,-13046,-14960,17066,19417,-22122,-25119,28450,32253,-36478
%N A135467 Expansion of q^(-3/4) * eta(q)^2 * eta(q^2)^4 * eta(q^8)^4 / eta(q^4)^6 
               in powers of q.
%D A135467 Ishikawa, T., Congruences between binomial coefficients binom(2f,f) and 
               Fourier coefficients of certain eta-products, Hiroshima Math. J. 
               22 (1992), no. 3, 583-590.
%F A135467 Euler transform of period 8 sequence [ -2, -6, -2, 0, -2, -6, -2, -4, 
               ...]. - Michael Somos Mar 01 2008
%e A135467 q^3 - 2*q^7 - 5*q^11 + 10*q^15 + 13*q^19 - 22*q^23 - 30*q^27 + ...
%o A135467 (PARI) {a(n) = local(A); if( n<0, 0, A = x * O(x^n); polcoeff( (eta(x 
               + A) * eta(x^2 + A)^2 / eta(x^4 + A)^3 * eta(x^8 + A)^2)^2, n))} 
               /* Michael Somos Mar 01 2008 */
%Y A135467 Sequence in context: A031396 A003654 A047617 this_sequence A018571 A064233 
               A051952
%Y A135467 Adjacent sequences: A135464 A135465 A135466 this_sequence A135468 A135469 
               A135470
%K A135467 sign
%O A135467 0,2
%A A135467 N. J. A. Sloane (njas(AT)research.att.com), Feb 07 2008