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
Keywords
Examples
a(6) = 5 since there is one nonprincipal Dirichlet character mod 6, namely A134667, whose fifth term is -1.
Links
- 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.
Crossrefs
Cf. A000010.