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

0,2

Links

Antti Karttunen, Table of n, a(n) for n = 0..65537

Index entries for sequences related to primorial base

Formula

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

Prog

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

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.

Sequence in context: A241070 A128621 A132385 * A191716 A089235 A347794

Adjacent sequences: A358837 A358838 A358839 * A358841 A358842 A358843

Keyword

nonn

Author

Antti Karttunen, Dec 02 2022

Status

approved