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A319984
Fully multiplicative with a(p^e) = prime(p mod 4)^e.
5
1, 3, 5, 9, 2, 15, 5, 27, 25, 6, 5, 45, 2, 15, 10, 81, 2, 75, 5, 18, 25, 15, 5, 135, 4, 6, 125, 45, 2, 30, 5, 243, 25, 6, 10, 225, 2, 15, 10, 54, 2, 75, 5, 45, 50, 15, 5, 405, 25, 12, 10, 18, 2, 375, 10, 135, 25, 6, 5, 90, 2, 15, 125, 729, 4, 75, 5, 18, 25, 30, 5, 675, 2, 6, 20, 45, 25, 30, 5, 162, 625, 6, 5, 225, 4, 15, 10, 135, 2, 150, 10, 45, 25, 15, 10
OFFSET
1,2
COMMENTS
For all i, j:
A319714(i) = A319714(j) => a(i) = a(j) => A065338(i) = A065338(j).
FORMULA
For all n, A003963(a(n)) = A065338(n).
PROG
(PARI) A319984(n) = { my(f=factor(n)); prod(i=1, #f~, (prime(f[i, 1]%4))^f[i, 2]); };
CROSSREFS
KEYWORD
nonn,mult
AUTHOR
Antti Karttunen, Oct 06 2018
STATUS
approved