A346474 a(n) = A342414(A276086(n)).

0, 1, 1, 5, 1, 7, 1, 7, 1, 31, 13, 41, 1, 9, 11, 37, 2, 47, 3, 11, 7, 43, 19, 53, 1, 13, 17, 49, 11, 59, 1, 3, 5, 41, 17, 55, 1, 59, 71, 247, 53, 317, 19, 73, 23, 289, 127, 359, 13, 29, 113, 331, 37, 401, 11, 101, 67, 373, 169, 443, 1, 11, 13, 47, 5, 61, 17, 23, 43, 277, 121, 347, 1, 83, 107, 319, 71, 389, 31, 97, 8, 361, 163

Offset: 0

Author

Antti Karttunen, Jul 21 2021

Keywords

• nonn
• base
• look

Comments

For n >= 1, each term a(n) is a divisor of A342002(n).

Links

• Antti Karttunen, Table of n, a(n) for n = 0..13860
• Index entries for sequences related to primorial base

Crossrefs

Cf. A000010, A003415, A276086, A324650, A327860, A342414.

Cf. also A342002, A345930, A346475 for sequences with similar scatter plots.

Programs

PARI

A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A342414(n) = { my(u=A003415(n)); (u/gcd(eulerphi(n),u)); };
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A346474(n) = A342414(A276086(n));

Formula

a(n) = A342414(A276086(n)).

a(n) = A327860(n) / gcd(A327860(n), A324650(n)).