A358840 Primorial base exp-function reduced modulo 6.

1, 2, 3, 0, 3, 0, 5, 4, 3, 0, 3, 0, 1, 2, 3, 0, 3, 0, 5, 4, 3, 0, 3, 0, 1, 2, 3, 0, 3, 0, 1, 2, 3, 0, 3, 0, 5, 4, 3, 0, 3, 0, 1, 2, 3, 0, 3, 0, 5, 4, 3, 0, 3, 0, 1, 2, 3, 0, 3, 0, 1, 2, 3, 0, 3, 0, 5, 4, 3, 0, 3, 0, 1, 2, 3, 0, 3, 0, 5, 4, 3, 0, 3, 0, 1, 2, 3, 0, 3, 0, 1, 2, 3, 0, 3, 0, 5, 4, 3, 0, 3, 0, 1, 2, 3, 0

Offset: 0

Author

Antti Karttunen, Dec 02 2022

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..65537
• Index entries for sequences related to primorial base

Crossrefs

Cf. A010875, A276086, A328632 (positions of 1's), A358841 (their characteristic function), A047235 (positions of 3's), A120325 (their char. fun), A358843 (positions of 5's), A358842 (their char. fun).

Cf. also A353486, A358850.

Programs

PARI

A358840(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m%6); };

Formula

a(n) = A010875(A276086(n)) = A276086(n) mod 6.