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A329601
The squarefree kernel of Product prime(e(i)), when n = Product prime(i)^e(i).
4
1, 2, 2, 3, 2, 2, 2, 5, 3, 2, 2, 6, 2, 2, 2, 7, 2, 6, 2, 6, 2, 2, 2, 10, 3, 2, 5, 6, 2, 2, 2, 11, 2, 2, 2, 3, 2, 2, 2, 10, 2, 2, 2, 6, 6, 2, 2, 14, 3, 6, 2, 6, 2, 10, 2, 10, 2, 2, 2, 6, 2, 2, 6, 13, 2, 2, 2, 6, 2, 2, 2, 15, 2, 2, 6, 6, 2, 2, 2, 14, 7, 2, 2, 6, 2, 2, 2, 10, 2, 6, 2, 6, 2, 2, 2, 22, 2, 6
OFFSET
1,2
FORMULA
a(n) = A007947(A181819(n)).
a(n) = A181819(A328400(n)), A181821(a(n)) = A328400(n).
a(A108951(n)) = A329607(n).
a(n) = A019565(A297404(n)). - Peter Munn, Oct 02 2023
PROG
(PARI)
A007947(n) = factorback(factorint(n)[, 1]);
A181819(n) = {my(f=factor(n)); prod(k=1, #f~, prime(f[k, 2])); }; \\ From A181819
KEYWORD
nonn
AUTHOR
Antti Karttunen, Nov 19 2019
STATUS
approved