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 A035216 Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m = 34. 1
 1, 1, 2, 1, 2, 2, 0, 1, 3, 2, 2, 2, 0, 0, 4, 1, 1, 3, 0, 2, 0, 2, 0, 2, 3, 0, 4, 0, 2, 4, 0, 1, 4, 1, 0, 3, 2, 0, 0, 2, 0, 0, 0, 2, 6, 0, 2, 2, 1, 3, 2, 0, 0, 4, 4, 0, 0, 2, 0, 4, 2, 0, 0, 1, 0, 4, 0, 1, 0, 0, 0, 3, 0, 2, 6, 0, 0, 0, 0, 2, 5 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 FORMULA From Amiram Eldar, Nov 19 2023: (Start) a(n) = Sum_{d|n} Kronecker(34, d). Multiplicative with a(p^e) = 1 if Kronecker(34, p) = 0 (p = 2 or 17), a(p^e) = (1+(-1)^e)/2 if Kronecker(34, p) = -1 (p is in A038910), and a(p^e) = e+1 if Kronecker(34, p) = 1 (p is in A191025). Asymptotic mean: Limit_{m->oo} (1/m) * Sum_{k=1..m} a(k) = 2*log(6*sqrt(34)+35)/sqrt(34) = 1.457151825131... . (End) MATHEMATICA a[n_] := DivisorSum[n, KroneckerSymbol[34, #] &]; Array[a, 100] (* Amiram Eldar, Nov 19 2023 *) PROG (PARI) my(m = 34); direuler(p=2, 101, 1/(1-(kronecker(m, p)*(X-X^2))-X)) (PARI) a(n) = sumdiv(n, d, kronecker(34, d)); \\ Amiram Eldar, Nov 19 2023 CROSSREFS Cf. A038910, A191025. Sequence in context: A243747 A105937 A035146 * A258587 A263548 A058496 Adjacent sequences: A035213 A035214 A035215 * A035217 A035218 A035219 KEYWORD nonn,easy,mult AUTHOR N. J. A. Sloane STATUS approved

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Last modified September 7 23:15 EDT 2024. Contains 375749 sequences. (Running on oeis4.)