cp's OEIS Frontend

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.

A304649 Number of divisors d|n such that neither d nor n/d is a perfect power greater than 1.

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%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