A359542 - OEIS

A359542

Inverse Möbius transform of A341999, which is the characteristic function of numbers that will never reach zero when iterated with the arithmetic derivative.

0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 3, 0, 0, 0, 2, 0, 0, 0, 4, 0, 1, 1, 2, 0, 1, 0, 4, 0, 0, 1, 3, 0, 0, 1, 4, 0, 0, 0, 2, 2, 0, 0, 6, 0, 1, 1, 3, 0, 2, 1, 4, 0, 0, 0, 5, 0, 0, 1, 5, 0, 0, 0, 2, 1, 1, 0, 6, 0, 1, 2, 2, 0, 2, 0, 6, 2, 0, 0, 4, 0, 1, 1, 4, 0, 3, 1, 2, 0, 0, 1, 8, 0, 0, 1, 4, 0, 2, 0, 5, 2

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OFFSET

1,8

COMMENTS

Question: Why there seems to be frequency bands (horizontal stripes) in the scatter plot?

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537

FORMULA

a(n) = Sum_{d|n} A341999(d).

a(n) = A000005(n) - A359541(n).

PROG

(PARI)