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 A304649 #12 Aug 18 2020 07:23:36 %S A304649 1,2,2,1,2,4,2,0,1,4,2,4,2,4,4,0,2,4,2,4,4,4,2,4,1,4,0,4,2,8,2,0,4,4, %T A304649 4,5,2,4,4,4,2,8,2,4,4,4,2,4,1,4,4,4,2,4,4,4,4,4,2,10,2,4,4,0,4,8,2,4, %U A304649 4,8,2,6,2,4,4,4,4,8,2,4,0,4,2,10,4,4,4,4 %N A304649 Number of divisors d|n such that neither d nor n/d is a perfect power greater than 1. %H A304649 Antti Karttunen, <a href="/A304649/b304649.txt">Table of n, a(n) for n = 1..65537</a> %H A304649 <a href="/index/Eu#epf">Index entries for sequences computed from exponents in factorization of n</a> %e A304649 The a(36) = 5 ways to write 36 as a product of two numbers that are not perfect powers greater than 1 are 2*18, 3*12, 6*6, 12*3, 18*2. %t A304649 nn=1000; %t A304649 sradQ[n_]:=GCD@@FactorInteger[n][[All,2]]===1; %t A304649 Table[Length@Select[Divisors[n],sradQ[n/#]&&sradQ[#]&],{n,nn}] %o A304649 (PARI) a(n) = sumdiv(n, d, !ispower(d) && !ispower(n/d)); \\ _Michel Marcus_, May 17 2018 %Y A304649 Cf. A000005, A001055, A007427, A007916, A034444, A045778, A162247, A183096, A281116, A301700, A303386, A303707, A304650. %K A304649 nonn %O A304649 1,2 %A A304649 _Gus Wiseman_, May 15 2018