Search: id:A113259
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%I A113259
%S A113259 1,5,15,10,25,5,30,30,55,35,15,60,50,60,90,10,105,80,105,100,25,60,180,
%T A113259 110,110,5,180,100,150,150,30,160,215,120,240,30,175,180,300,120,55,210,
%U A113259 180,210,300,35,330,230,210,215,15,160,300,260,300,60,330,200,450
%V A113259 1,5,-15,-10,25,5,30,-30,-55,35,-15,60,-50,-60,90,-10,105,-80,-105,100,
               25,60,-180,-110,
%W A113259 110,5,180,-100,-150,150,30,160,-215,-120,240,-30,175,-180,-300,120,-55,
               210,-180,-210,
%X A113259 300,35,330,-230,-210,215,-15,160,-300,-260,300,60,330,-200,-450
%N A113259 Expansion of psi(q)^5/psi(q^5)-25q^2 psi(q)psi(q^5)^3 in powers of q 
               where psi(q) is a Ramanujan theta function.
%D A113259 B. C. Berndt, Ramanujan's Notebooks Part III, Springer-Verlag, see p. 
               249 Entry 8(iv).
%F A113259 G.f.: 1+5( Sum_{k>0} k x^k/(1+x^k) kronecker(5, k) ).
%o A113259 (PARI) a(n)=if(n<1, n==0, -5*sumdiv(n,d, d*kronecker(5,d)*(-1)^(n/d)))
%Y A113259 Cf. a(n)=5*A113260(n) if n>0.
%Y A113259 Sequence in context: A154353 A114332 A077348 this_sequence A166621 A160275 
               A015666
%Y A113259 Adjacent sequences: A113256 A113257 A113258 this_sequence A113260 A113261 
               A113262
%K A113259 sign
%O A113259 0,2
%A A113259 Michael Somos, Oct 20 2005

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