A035233 - OEIS

A035233

Indices of the nonzero terms in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m= -43.

1, 4, 9, 11, 13, 16, 17, 23, 25, 31, 36, 41, 43, 44, 47, 49, 52, 53, 59, 64, 67, 68, 79, 81, 83, 92, 97, 99, 100, 101, 103, 107, 109, 117, 121, 124, 127, 139, 143, 144, 153, 164, 167, 169, 172, 173, 176, 181, 187, 188, 193, 196, 197, 207, 208, 212, 221, 225

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OFFSET

1,2

COMMENTS

Also, positive numbers of the form x^2 + xy + 11y^2 (discriminant -43).

LINKS

Table of n, a(n) for n=1..58.

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

PROG

(PARI) m=-43; select(x -> x, direuler(p=2, 101, 1/(1-(kronecker(m, p)*(X-X^2))-X)), 1) \\ Fixed by Andrey Zabolotskiy, Jul 30 2020

CROSSREFS

Cf. A106891 (Primes of the form x^2 + xy + 11y^2).