Search: id:A132218
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%I A132218
%S A132218 1,2,4,7,12,20,32,50,76,113,166,240,342,482,672,928,1270,1724,2323,3108,
%T A132218 4132,5460,7174,9376,12192,15780,20332,26086,33334,42432,53817,68018,
%U A132218 85680,107584,134674,168092,209210,259680,321484,396996,489056,601052
%N A132218 Expansion of psi(-q^3)/ phi(-q) in powers of q where psi(), phi() are 
               Ramanujan theta functions.
%F A132218 Expansion of q^(-3/8)* eta(q^2)* eta(q^3)* eta(q^12)/( eta(q)^2* eta(q^6)) 
               in powers of q.
%F A132218 Euler transform of period 12 sequence [ 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 
               2, 0, ...].
%F A132218 G.f.: Product_{k>0} (1+x^k)* (1+x^k+x^(2*k))* (1+x^(6*k)).
%o A132218 (PARI) {a(n)= local(A); if(n<0, 0, A= x*O(x^n); polcoeff( eta(x^2+A)* 
               eta(x^3+A)* eta(x^12+A)/ eta(x+A)^2/ eta(x^6+A), n))}
%Y A132218 Sequence in context: A010672 A122515 A036372 this_sequence A101230 A128129 
               A014968
%Y A132218 Adjacent sequences: A132215 A132216 A132217 this_sequence A132219 A132220 
               A132221
%K A132218 nonn
%O A132218 0,2
%A A132218 Michael Somos, Aug 13 2007

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