cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A294342 Numbers k at which the ratio (number of squares in the multiplicative group modulo k)/k reaches a new minimum.

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%I A294342 #16 May 28 2018 06:06:20
%S A294342 1,2,3,4,6,8,12,24,60,120,420,840,4620,9240,60060,120120,1021020,
%T A294342 2042040,19399380,38798760,446185740,892371480
%N A294342 Numbers k at which the ratio (number of squares in the multiplicative group modulo k)/k reaches a new minimum.
%C A294342 I.e., numbers k such that A046073(k)/k < A046073(j)/j for all j < k.
%C A294342 Appears to be just the union of 2*A002110, 4*A002110, and {1,3,6}. - _Don Reble_, Nov 26 2017
%e A294342      k    A046073(k)              A046073(k)/k
%e A294342   ======= ========== ========================================
%e A294342         1       1       1/1       =   1      = 1.000000000
%e A294342         2       1       1/2       =  1/2     = 0.500000000
%e A294342         3       1       1/3       =  1/3     = 0.333333333...
%e A294342         4       1       1/4       =  1/4     = 0.250000000
%e A294342         6       1       1/6       =  1/6     = 0.166666666...
%e A294342         8       1       1/8       =  1/8     = 0.125000000
%e A294342        12       1       1/12      =  1/12    = 0.083333333...
%e A294342        24       1       1/24      =  1/24    = 0.041666666...
%e A294342        60       2       2/60      =  1/30    = 0.033333333...
%e A294342       120       2       2/120     =  1/60    = 0.016666666...
%e A294342       420       6       6/420     =  1/70    = 0.014285714...
%e A294342       840       6       6/840     =  1/140   = 0.007142857...
%e A294342      4620      30      30/4620    =  1/154   = 0.006493506...
%e A294342      9240      30      30/9240    =  1/308   = 0.003246753...
%e A294342     60060     180     180/60060   =  3/1001  = 0.002997002...
%e A294342    120120     180     180/120120  =  3/2002  = 0.001498501...
%e A294342   1021020    1440    1440/1021020 = 24/17017 = 0.001410354...
%e A294342   2042040    1440    1440/2042040 = 12/17017 = 0.000705177...
%o A294342 (PARI) m=oo;for(k=1,oo, m > A046073(k)/k||next;print1(k",");m=A046073(k)/k) \\ _M. F. Hasler_, Nov 27 2017
%Y A294342 Cf. A046073.
%K A294342 nonn,more
%O A294342 1,2
%A A294342 _Jon E. Schoenfield_, Oct 28 2017
%E A294342 Terms a(19) .. a(22) from _Joerg Arndt_, Dec 28 2017