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.

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

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, arXiv:1008.2547 [math.NT], 2010-2015.

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: A039653 A335372 A106379 * A001634 A172989 A095113

Adjacent sequences: A232926 A232927 A232928 * A232930 A232931 A232932

Keyword

nonn

Author

Steven Finch, Dec 02 2013

Status

approved