%I A030220
%S A030220 1,0,0,3,0,3,0,0,9,5,0,0,0,0,15,5,0,0,22,0,0,0,0,21,25,0,0,0,0,0,2,0,0,
%T A030220 14,0,27,0,0,0,35,0,0,0,0,0,34,0,0,49,0,42,0,0,27,0,0,0,0,0,45,118,0,0,
%U A030220 13,0,0,0,0,102,0,0,0,0,0,0,66,0,0,98,0,81,0,0,0,70,0,0,0,0,45,0,0,0,14
%V A030220 1,0,0,-3,0,-3,0,0,9,5,0,0,0,0,-15,5,0,0,-22,0,0,0,0,21,25,0,0,0,0,0,2,
               0,0,-14,0,-27,0,
%W A030220 0,0,-35,0,0,0,0,0,34,0,0,49,0,42,0,0,-27,0,0,0,0,0,45,-118,0,0,13,0,0,
               0,0,-102,0,0,0,
%X A030220 0,0,0,66,0,0,98,0,81,0,0,0,-70,0,0,0,0,45,0,0,0,-14
%N A030220 Expansion of (eta(q^3)*eta(q^5))^3 in powers of q.
%D A030220 M. Koike, On McKay's conjecture, Nagoya Math. J., 95 (1984), 85-89.
%F A030220 Euler transform of period 15 sequence [ 0, 0, -3, 0, -3, -3, 0, 0, -3, 
               -3, 0, -3, 0, 0, -6, ...]. - Michael Somos Jun 14 2007
%F A030220 G.f.: (1/2)* Sum_{u,v} (u*u -4*v*v)* x^(u*u +u*v +4*v*v). - Michael Somos 
               Jun 14 2007
%F A030220 G.f.: x*(Product_{k>0} (1-x^(3*k))(1-x^(5*k)))^3. - Michael Somos Jun 
               14 2007
%e A030220 q - 3*q^4 - 3*q^6 + 9*q^9 + 5*q^10 - 15*q^15 + 5*q^16 - 22*q^19 + 21*q^24 
               + ...
%Y A030220 Sequence in context: A127802 A165951 A094901 this_sequence A055240 A115634 
               A010674
%Y A030220 Adjacent sequences: A030217 A030218 A030219 this_sequence A030221 A030222 
               A030223
%K A030220 sign
%O A030220 1,4
%A A030220 N. J. A. Sloane (njas(AT)research.att.com).