A353486 Primorial base exp-function reduced modulo 4.

1, 2, 3, 2, 1, 2, 1, 2, 3, 2, 1, 2, 1, 2, 3, 2, 1, 2, 1, 2, 3, 2, 1, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 1, 2, 3, 2, 1, 2, 1, 2, 3, 2, 1, 2, 1, 2, 3, 2, 1, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 1, 2

Offset: 0

Author

Antti Karttunen, Apr 24 2022

Keywords

• nonn
• base

Comments

There are no zeros because A276086 is a permutation of A048103.

Links

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

Crossrefs

Cf. A010873, A048103, A276086, A353488, A353489, A353516, A353526.

Cf. A007395, A353487 (bisections).

Programs

PARI

A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A353486(n) = (A276086(n)%4);

Formula

a(n) = A010873(A276086(n)).

For n >= 1, a(n) = A010873(A353516(n) * A353526(n)).

For all n >= 0, a(2n) = A353487(n), a(2n+1) = 2.