A086147 Sum of the orders of the elements in the group GL(2,Z_n).

1, 13, 219, 367, 4891, 1977, 36085, 9791, 46731, 39133, 479157, 37119, 1289911, 243703, 375219, 305599, 6991319, 299913, 11500123, 667219, 2610657, 3723423, 40035651, 781127, 14928331, 8544673, 11297307, 4540153, 129539703, 2739477, 209881105, 9748415

Offset: 1

Author

Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 25 2003

Keywords

• nonn

Links

• Eric M. Schmidt, Table of n, a(n) for n = 1..60

Crossrefs

Cf. A000252, A036391, A316566.

Programs

GAP

A086147 := n -> Sum(ConjugacyClasses(GL(2,ZmodnZ(n))), cc->Size(cc) * Order(Representative(cc))); # Eric M. Schmidt, May 18 2013

Formula

a(n) = Sum_{k=1..n} k*A316566(n, k). - Andrew Howroyd, Jul 07 2018

Extensions

Corrected and extended by Eric M. Schmidt, May 18 2013