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A086147 Sum of the orders of the elements in the group GL(2,Z_n). 1

%I

%S 1,13,219,367,4891,1977,36085,9791,46731,39133,479157,37119,1289911,

%T 243703,375219,305599,6991319,299913,11500123,667219,2610657,3723423,

%U 40035651,781127,14928331,8544673,11297307,4540153,129539703,2739477,209881105,9748415

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

%H Eric M. Schmidt, <a href="/A086147/b086147.txt">Table of n, a(n) for n = 1..60</a>

%F a(n) = Sum_{k=1..n} k*A316566(n, k). - _Andrew Howroyd_, Jul 07 2018

%o (GAP) A086147 := n -> Sum(ConjugacyClasses(GL(2,ZmodnZ(n))), cc->Size(cc) * Order(Representative(cc))); # _Eric M. Schmidt_, May 18 2013

%Y Cf. A000252, A036391, A316566.

%K nonn

%O 1,2

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

%E Corrected and extended by _Eric M. Schmidt_, May 18 2013

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Last modified September 21 00:17 EDT 2019. Contains 327252 sequences. (Running on oeis4.)