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

0,2

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

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.

Prog

(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);

Crossrefs

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

Cf. A007395, A353487 (bisections).

Sequence in context: A137927 A321864 A084311 * A026490 A053555 A324645

Adjacent sequences: A353483 A353484 A353485 * A353487 A353488 A353489

Keyword

nonn,base

Author

Antti Karttunen, Apr 24 2022

Status

approved