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A232929 For each complex nonprincipal Dirichlet character chi modulo n, let f(chi) be the least positive integer k for which chi(k) is not in the set {0,1}. Then a(n) is the sum of f(chi) over all such chi.

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%I A232929 #16 Aug 25 2021 13:24:14
%S A232929 2,3,6,5,11,11,10,9,18,17,22,15,19,23,31,25,34,29,25,31,45,47,38,39,
%T A232929 34,35,54,53,63,47,41,45,47,57,70,51,51,61,79,61,84,61,51,65,93,87,83,
%U A232929 57,71,75,102,85,79,81,73,81,114,119,118,87,85,95,97,97,130,95,89,85,143,127,151,107,83,109,119,125,155,125,106,125,162,135,133,123,113,125,181,165,147,131,139,137,147,167,193,123,121,125,198,157,203,161,123,153,210,177,216,121,151,153,225,183,179,169,159,179,201,255
%N A232929 For each complex nonprincipal Dirichlet character chi modulo n, let f(chi) be the least positive integer k for which chi(k) is not in the set {0,1}.  Then a(n) is the sum of f(chi) over all such chi.
%H A232929 S. R. Finch, <a href="/A232927/a232927.pdf">Average least nonresidues</a>, December 4, 2013. [Cached copy, with permission of the author]
%H A232929 G. Martin and P. Pollack, <a href="http://dx.doi.org/10.1112/jlms/jds036">The average least character non-residue and further variations on a theme of Erdos</a>, J. London Math. Soc. 87 (2013) 22-42.
%H A232929 R. J. Mathar, <a href="http://arxiv.org/abs/1008.2547">Table of Dirichlet L-series and prime zeta modulo functions for small moduli</a>, arXiv:1008.2547 [math.NT], 2010-2015.
%e A232929 a(6) = 5 since there is one nonprincipal Dirichlet character mod 6, namely A134667, whose fifth term is -1.
%Y A232929 Cf. A000010.
%K A232929 nonn
%O A232929 3,1
%A A232929 _Steven Finch_, Dec 02 2013