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A342003
Maximal exponent in the prime factorization of the arithmetic derivative of n: a(n) = A051903(A003415(n)).
3
0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 4, 0, 2, 3, 5, 0, 1, 0, 3, 1, 1, 0, 2, 1, 1, 3, 5, 0, 1, 0, 4, 1, 1, 2, 2, 0, 1, 4, 2, 0, 1, 0, 4, 1, 2, 0, 4, 1, 2, 2, 3, 0, 4, 4, 2, 1, 1, 0, 2, 0, 1, 1, 6, 2, 1, 0, 3, 1, 1, 0, 2, 0, 1, 1, 4, 2, 1, 0, 4, 3, 1, 0, 2, 1, 2, 5, 2, 0, 1, 2, 5, 1, 2, 3, 4, 0, 1, 2, 2, 0, 1, 0, 2, 1
OFFSET
2,3
LINKS
FORMULA
a(n) = A051903(A003415(n)).
a(n) = A051903(n) + A328310(n).
a(n) = 1 iff A341994(n) = 1.
PROG
(PARI)
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A051903(n) = if((1==n), 0, vecmax(factor(n)[, 2]));
CROSSREFS
Cf. A000040 (indices of zeros), A328234 (of ones), A328393 (of the terms < 2).
Sequence in context: A358133 A363878 A086372 * A339737 A364916 A365923
KEYWORD
nonn
AUTHOR
Antti Karttunen, Mar 01 2021
STATUS
approved