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A370118
a(n) = 1 if the arithmetic derivative of n is a multiple of 9, otherwise 0.
5
1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0
OFFSET
0
FORMULA
a(n) = A267142(A003415(n)).
a(n) = A370122(n) - A369658(A003415(n)).
a(n) = A359430(n) * A370122(n).
a(n) = A079978(A369669(n)).
PROG
(PARI)
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A370118(n) = (0==(A003415(n)%9));
CROSSREFS
Characteristic function of A370119.
Sequence in context: A279485 A298859 A216280 * A014022 A014035 A016420
KEYWORD
nonn
AUTHOR
Antti Karttunen, Feb 10 2024
STATUS
approved