A333936 - OEIS

%I #10 Apr 12 2020 13:58:48

%S 1,2,3,6,6,6,10,6,5,10,14,10,30,15,30,30,30,15,14,30,30,30,42,30,22,

%T 30,30,42,30,42,21,7,42,42,26,30,30,30,30,42,42,14,30,66,30,30,66,42,

%U 10,70,21,66,78,34,42,22,70,42,15,78,42,70,66,42,42,78,66

%N a(n) is the product of the distinct prime factors of A054412(n).

%C Equivalently, a(n) is the product of the exponents of the prime factorization of A054412(n).

%C Every squarefree number s appears A001221(s)^A001221(s) times.

%H Rémy Sigrist, <a href="/A333936/b333936.txt">Table of n, a(n) for n = 1..10000</a>

%H Rémy Sigrist, <a href="/A333936/a333936.gp.txt">PARI program for A333936</a>

%F a(n) = A005361(A054412(n)) = A007947(A054412(n)).

%e For n = 36:

%e - A054412(36) = 1474560 = 2^15 * 3^2 * 5,

%e - hence a(36) = 2 * 3 * 5 = 30.

%o (PARI) See Links section.

%Y Cf. A001221, A005361, A007947, A054412.

%K nonn

%O 1,2

%A _Rémy Sigrist_, Apr 11 2020