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.

A370328 The number of powerful divisors of the powerful numbers.

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%I A370328 #8 Feb 16 2024 02:10:54
%S A370328 1,2,3,2,4,2,3,5,4,2,6,6,4,4,6,2,3,7,8,2,4,6,9,4,5,8,10,2,8,3,2,6,8,
%T A370328 12,4,4,6,9,2,12,4,12,6,4,6,8,10,2,15,8,2,6,10,9,10,4,6,14,4,4,16,6,3,
%U A370328 6,2,6,4,4,10,12,2,18,8,12,2,8,15,12,8,11,4,7
%N A370328 The number of powerful divisors of the powerful numbers.
%C A370328 The product of the exponents of the prime factorization of the powerful numbers.
%H A370328 Amiram Eldar, <a href="/A370328/b370328.txt">Table of n, a(n) for n = 1..10000</a>
%F A370328 a(n) = A005361(A001694(n)).
%F A370328 a(n) = A000005(A306458(n)).
%t A370328 f[n_] := Module[{e = FactorInteger[n][[;; , 2]]}, If[n == 1 || Min[e] > 1, Times @@ e, Nothing]]; Array[f, 2500]
%o A370328 (PARI) lista(kmax) = {my(e); for(k = 1, kmax, e = factor(k)[,2]; if(k == 1 || vecmin(e) > 1, print1(vecprod(e), ", ")));}
%Y A370328 Cf. A000005, A001694, A005361, A306458, A363194, A370329.
%K A370328 nonn,easy
%O A370328 1,2
%A A370328 _Amiram Eldar_, Feb 15 2024