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.
%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