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A369009
a(n) = A342001(n) - A083345(n).
2
0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 2, 8, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 7, 0, 0, 0, 14, 0, 6, 0, 0, 0, 0, 0, 23, 0, 0, 0, 3, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 11, 0, 0, 0, 31, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 10
OFFSET
1,12
COMMENTS
Arithmetic derivative of n without its "inherited divisor" minus the arithmetic derivative of n without its greatest common divisor with n.
LINKS
PROG
(PARI)
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A003557(n) = (n/factorback(factorint(n)[, 1]));
A369009(n) = { my(u=A003415(n)); (u/A003557(n))-(u/gcd(n, u)); };
CROSSREFS
Cf. A342090 (positions of terms > 0).
Sequence in context: A152894 A152898 A368661 * A345403 A210252 A028719
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jan 14 2024
STATUS
approved