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A035167 Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m = -23. 1
1, 2, 2, 3, 0, 4, 0, 4, 3, 0, 0, 6, 2, 0, 0, 5, 0, 6, 0, 0, 0, 0, 1, 8, 1, 4, 4, 0, 2, 0, 2, 6, 0, 0, 0, 9, 0, 0, 4, 0, 2, 0, 0, 0, 0, 2, 2, 10, 1, 2, 0, 6, 0, 8, 0, 0, 0, 4, 2, 0, 0, 4, 0, 7, 0, 0, 0, 0, 2, 0, 2, 12, 2, 0, 2, 0, 0, 8, 0, 0, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..81.

LMFDB, Dedekind zeta-function: zeta_K(s), where K is the number field with defining polynomial x^2-x+6

MATHEMATICA

a[ n_] := If[ n < 1, 0, Sum[ KroneckerSymbol[ -23, d], { d, Divisors[ n]}]]; (* Michael Somos, Jan 24 2021 *)

PROG

(PARI) direuler(p=2, 101, 1/(1-(kronecker(m, p)*(X-X^2))-X))

(PARI) {a(n) = if( n<1, 0, sumdiv(n, d, kronecker( -23, d)))}; /* Michael Somos, Jan 24 2021 */

CROSSREFS

Sequence in context: A213081 A127446 A046157 * A071448 A071449 A035189

Adjacent sequences:  A035164 A035165 A035166 * A035168 A035169 A035170

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 3 01:47 EDT 2021. Contains 346429 sequences. (Running on oeis4.)