A232930 For each complex primitive 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, 0, 11, 8, 8, 0, 18, 5, 22, 0, 11, 12, 31, 0, 34, 17, 10, 0, 45, 20, 32, 0, 24, 17, 54, 0, 63, 24, 21, 0, 30, 20, 70, 0, 27, 22, 79, 0, 84, 27, 24, 0, 93, 20, 72, 0, 36, 33, 102, 0, 55, 38, 37, 0, 114, 27, 118, 0, 52, 48, 69, 0, 130, 47, 42, 0, 143, 40, 151, 0, 32, 55, 90, 0, 155, 52, 72, 0, 162, 33, 96, 0, 57, 56, 181, 0, 114, 63, 58, 0, 107, 40, 193, 0, 72, 48, 198, 0, 203, 78, 39, 0, 210, 60, 216, 0, 79, 60, 225, 0, 126, 85, 100, 0, 159, 46

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)=0 since there are no primitive Dirichlet characters mod 6.

Crossrefs

Cf. A007431.

Sequence in context: A078890 A021813 A082052 * A217100 A241293 A107409

Adjacent sequences: A232927 A232928 A232929 * A232931 A232932 A232933

Keyword

nonn

Author

Steven Finch, Dec 02 2013

Status

approved