A368913 - OEIS

A368913

a(n) = 1 if there is no prime p such that p^p divides A342001(n), but for A003415(n) such a prime exists, otherwise 0. Here A003415(n) is the arithmetic derivative of n, and A342001(n) = A003415(n) / A003557(n).

0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0

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OFFSET

COMMENTS

Question: What is the asymptotic mean of this sequence?

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..100000

Index entries for characteristic functions

FORMULA

a(n) = A368914(n) - A368915(n).

For all n >= 0, a(A048103(n)) = a(A276086(n)) = 0.

PROG

(PARI)