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A099008 Numbers n such that the denominator of the 2n-th Bernoulli number is divisible by n but sum_{d|n} sigma(d)/phi(d) is not an integer. 0

%I #14 Jul 20 2018 22:27:30

%S 546,903,1806,2730,6162,6510,9030,10230,12090,12246,12810,15834,20130,

%T 20670,23478,23790,28938,30030,30810,43134,44310,52374,56730,61230,

%U 71610,79170,84630,85722,88410,99330,109230,117390,132990,140910,144690,154770,164010

%N Numbers n such that the denominator of the 2n-th Bernoulli number is divisible by n but sum_{d|n} sigma(d)/phi(d) is not an integer.

%C Intersection of A106741 and complement of A068991. - _Michel Marcus_, Dec 07 2013

%e The denominator of the 1806th Bernoulli number is 1806 and Sum_{d|1806} sigma(d)/phi(d) = 172/3 is not an integer.

%o (PARI) lista() = {v = readvec("b106741.txt"); for (i=1, #v, vi = v[i]; if (denominator(sumdiv(vi, d, sigma(d)/eulerphi(d))) != 1, print1(vi, ", ")));} \\ _Michel Marcus_, Dec 07 2013

%Y Cf. A068991.

%K nonn

%O 1,1

%A _Benoit Cloitre_, Nov 07 2004

%E Extended using b-file from A106741 by _Michel Marcus_, Dec 07 2013

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Last modified April 19 05:19 EDT 2024. Contains 371782 sequences. (Running on oeis4.)