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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. 3
2, 3, 6, 5, 11, 11, 10, 9, 18, 17, 22, 15, 19, 23, 31, 25, 34, 29, 25, 31, 45, 47, 38, 39, 34, 35, 54, 53, 63, 47, 41, 45, 47, 57, 70, 51, 51, 61, 79, 61, 84, 61, 51, 65, 93, 87, 83, 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,1

LINKS

Table of n, a(n) for n=3..120.

S. R. Finch, Average least nonresidues, December 4, 2013. [Cached copy, with permission of the author]

G. Martin and P. Pollack, The average least character non-residue and further variations on a theme of Erdos, J. London Math. Soc. 87 (2013) 22-42.

R. J. Mathar, Table of Dirichlet L-series and prime zeta modulo functions for small moduli.

EXAMPLE

a(6) = 5 since there is one nonprincipal Dirichlet character mod 6, namely A134667, whose fifth term is -1.

CROSSREFS

Cf. A000010.

Sequence in context: A303695 A039653 A106379 * A001634 A172989 A095113

Adjacent sequences:  A232926 A232927 A232928 * A232930 A232931 A232932

KEYWORD

nonn

AUTHOR

Steven Finch, Dec 02 2013

STATUS

approved

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Last modified September 21 13:37 EDT 2019. Contains 327253 sequences. (Running on oeis4.)