A035248 Indices of nonzero terms in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m= -7 (A035182).
1, 2, 4, 7, 8, 9, 11, 14, 16, 18, 22, 23, 25, 28, 29, 32, 36, 37, 43, 44, 46, 49, 50, 53, 56, 58, 63, 64, 67, 71, 72, 74, 77, 79, 81, 86, 88, 92, 98, 99, 100, 106, 107, 109, 112, 113, 116, 121, 126, 127, 128, 134, 137, 142, 144, 148, 149, 151, 154, 158, 161, 162, 163, 169, 172, 175
Offset: 1
Keywords
Crossrefs
Cf. A028951. [From R. J. Mathar, Oct 20 2008]
Cf. A035182 (Expansion for m= -7).
Programs
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Mathematica
Reap[For[n = 1, n < 200, n++, r = Reduce[x^2 + x y + 2 y^2 == n, {x, y}, Integers]; If[r =!= False, Sow[n]]]][[2, 1]] (* Jean-François Alcover, Oct 31 2016 *) -
PARI
m=-7; v=direuler(p=2, 301, 1/(1-(kronecker(m, p)*(X-X^2))-X)); for(j=1,#v,if(v[j],print1(j,", ")));
Extensions
Added more terms, Joerg Arndt, Dec 08 2013
Definition corrected by Georg Fischer, Sep 03 2020
Comments