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 A068986 #41 Dec 29 2024 03:42:20 %S A068986 1,21,105,1050,1155,24921,26565,45150,49842,59455,249210,274131, %T A068986 548262,1129645,1151325,1248555,1309350,2302650,2741310,3388935, %U A068986 4605300,6305013,12610026,13417131,14685385,23722545,25750550,26834262,30154410,33388425,42997750,44056155 %N A068986 Numbers k such that Sum_{d|k} sigma(d)/d is an integer. %C A068986 Also numbers k that divide A060640(k). - _Seiichi Manyama_, May 08 2021 %H A068986 Amiram Eldar, <a href="/A068986/b068986.txt">Table of n, a(n) for n = 1..100</a> (terms 1..64 from Michel Marcus) %t A068986 f[p_, e_] := ((e + 1)*p^(e + 2) - (e + 2)*p^(e + 1) + 1)/(p - 1)^2; q[1] = True; q[n_] := Divisible[Times @@ f @@@ FactorInteger[n], n]; Select[Range[10^6], q] (* _Amiram Eldar_, Dec 29 2024 *) %o A068986 (PARI) for(n=1,10^7,if(frac(sumdiv(n,d, sigma(d)/d))==0,print1(n,","))) %o A068986 (PARI) is(k) = {my(f = factor(k)); !(prod(i = 1, #f~, p = f[i, 1]; e = f[i, 2]; ((e + 1)*p^(e + 2) - (e + 2)*p^(e + 1) + 1)/(p - 1)^2) % k);} \\ _Amiram Eldar_, Dec 29 2024 %Y A068986 Cf. A000203, A060640, A017665, A017666. %K A068986 nonn %O A068986 1,2 %A A068986 _Benoit Cloitre_, Apr 06 2002 %E A068986 More terms from _Jason Earls_, Apr 09 2002 %E A068986 a(22)-a(25) from _Jinyuan Wang_, Apr 06 2020 %E A068986 a(26)-a(32) from _Michel Marcus_, Apr 06 2020