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A353666
a(n) = gcd(n, A351546(n)).
4
1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 4, 1, 2, 3, 1, 1, 1, 1, 2, 1, 2, 1, 4, 1, 2, 1, 28, 1, 2, 1, 1, 3, 2, 1, 1, 1, 2, 1, 10, 1, 2, 1, 4, 3, 2, 1, 4, 1, 1, 3, 2, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1, 1, 1, 2, 1, 2, 3, 2, 1, 1, 1, 2, 1, 4, 1, 2, 1, 2, 1, 2, 1, 28, 1, 2, 3, 4, 1, 2, 7, 4, 1, 2, 5, 4, 1, 1, 3, 1, 1, 2, 1, 2, 3
OFFSET
1,6
FORMULA
a(n) = gcd(n, A351546(n)).
a(n) = n / A353667(n) = A351546(n) / A353668(n).
PROG
(PARI)
A003961(n) = { my(f = factor(n)); for(i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); };
A351546(n) = { my(f=factor(sigma(n)), u=A003961(n)); prod(k=1, #f~, f[k, 1]^((0!=(u%f[k, 1]))*f[k, 2])); };
A353666(n) = gcd(n, A351546(n));
CROSSREFS
Differs from A353688 for the first time at n = 28, 30, 40, 60, 66, 84, 90, 102, 120, ...
Sequence in context: A104306 A074389 A353688 * A051119 A159269 A186728
KEYWORD
nonn
AUTHOR
Antti Karttunen, May 04 2022
STATUS
approved