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 A085627 #23 Jul 01 2019 11:14:34 %S A085627 1,3,4,5,6,7,8,15,16,18,20,24,25,28,30,32,35,36,40,42,45,48,50,54,96, %T A085627 96,105,108,112,120,120,128,135,140,144,160,168,180,192,200,200,216, %U A085627 224,225,240,240,252,264,270,280,280,300,315,330,576,560,360,600,576,648,640,675,672 %N A085627 Number of divisors of n-th highly powerful number. %C A085627 560 is the first term that is less than the preceding term. - _David Wasserman_, Feb 03 2005 %H A085627 Amiram Eldar, <a href="/A085627/b085627.txt">Table of n, a(n) for n = 1..609</a> %F A085627 a(n) = A000005(A005934(n)). - _Amiram Eldar_, Jul 01 2019 %t A085627 a = {1}; b = {1}; f[n_] := Times @@ Last /@ FactorInteger[n]; Do[If[f@ n > Max[b], And[AppendTo[b, f@ n], AppendTo[a, n]]], {n, 1000000}]; DivisorSigma[0, #] &@ a (* _Michael De Vlieger_, Aug 28 2015 *) %o A085627 (PARI) {prdex(n)=local(s, fac); s=1; fac=factor(n); for(k=1,matsize(fac)[1],s=s*fac[k,2]); return(s)} {dhp(m)=local(rec); rec=0; for(n=1,m,if(prdex(n)>rec,rec=prdex(n); print1(numdiv(n)",")))} %Y A085627 Cf. A000005, A005934. %K A085627 nonn %O A085627 1,2 %A A085627 _Jason Earls_, Jul 10 2003 %E A085627 More terms from _David Wasserman_, Feb 03 2005 %E A085627 Two missing terms added by _Walter Roscello_, Aug 28 2015