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 A146982 #14 Sep 08 2022 08:45:38 %S A146982 1,2,4,6,8,9,12,16,18,20,24,27,30,32,36,40,45,48,50,54,60,64,70,72,75, %T A146982 80,81,84,90,96,100,105,108,112,120,125,126,128,135,140,144,150,160, %U A146982 162,168,175,180,189,192,196,200,210,216,224,225,240,243,245,250,252,256 %N A146982 Numbers k such that Product{i=1..k}[sigma_0(i)] / k is an integer. %C A146982 A066843(k)/A000027(k) is an integer. %H A146982 Harvey P. Dale, <a href="/A146982/b146982.txt">Table of n, a(n) for n = 1..1000</a> %t A146982 With[{nn=300},Select[Thread[{FoldList[Times,DivisorSigma[0,Range[ nn]]], Range[ nn]}], IntegerQ[#[[1]]/#[[2]]]&]][[All,2]] (* _Harvey P. Dale_, Mar 05 2019 *) %o A146982 (Magma) [ n: n in [1..260] | &*[ NumberOfDivisors(k): k in [1..n] ] mod n eq 0 ]; // _Klaus Brockhaus_, Nov 05 2008 %o A146982 (PARI) isok(k) = frac(prod(i=1, k, numdiv(i))/k) == 0; \\ _Michel Marcus_, Feb 06 2018 %Y A146982 Cf. A066843, A000005, A000027. %K A146982 nonn %O A146982 1,2 %A A146982 _Ctibor O. Zizka_, Nov 04 2008 %E A146982 Extended beyond a(12) by _Klaus Brockhaus_, Nov 05 2008