A351945 - OEIS

%I #9 Apr 03 2022 13:53:44

%S 0,1,1,1,1,2,1,1,1,2,1,5,1,2,2,1,1,5,1,5,2,2,1,7,1,2,1,5,1,3,1,1,2,2,

%T 2,2,1,2,2,7,1,3,1,5,5,2,1,9,1,5,2,5,1,7,2,7,2,2,1,8,1,2,5,1,2,3,1,5,

%U 2,3,1,8,1,2,5,5,2,3,1,9,1,2,1,8,2,2,2,7,1,8,2,5,2,2,2,13,1,5,5,2,1,3,1,7,3

%N a(n) = A342001(A181819(n)).

%H Antti Karttunen, <a href="/A351945/b351945.txt">Table of n, a(n) for n = 1..20000</a>

%H <a href="/index/Eu#epf">Index entries for sequences computed from exponents in factorization of n</a>

%F a(n) = A342001(A181819(n)) = A351942(n) / A351944(n).

%o (PARI)

%o A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));

%o A003557(n) = (n/factorback(factorint(n)[, 1]));

%o A181819(n) = factorback(apply(e->prime(e),(factor(n)[,2])));

%o A342001(n) = (A003415(n) / A003557(n));

%o A351945(n) = A342001(A181819(n));

%Y Cf. A003415, A003557, A181819, A342001, A351942, A351954 [= a(A276076(n))].

%K nonn

%O 1,6

%A _Antti Karttunen_, Apr 02 2022