A353487 a(n) = A276086(2*n) mod 4, where A276086 is the primorial base exp-function.

1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 3

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) = A353486(2*n) = A010873(A276086(2*n)).

a(n) = A353516(2*n + 1).

a(n) = A353517(1+n). [See comments in A353516 for a proof]

For n >= 1, a(n) = (A353517(n) * A353527(n)) mod 4.

Prog

(PARI)
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A353487(n) = (A276086(2*n)%4);

Crossrefs

Even bisection of A353486. Odd bisection of A353516. Sequence A353517 shifted once left.

Cf. A010873, A276086, A353465, A353466, A353488, A353489, A353527.

Sequence in context: A366520 A366519 A353517 * A356308 A228925 A230405

Adjacent sequences: A353484 A353485 A353486 * A353488 A353489 A353490

Keyword

nonn,base

Author

Antti Karttunen, Apr 24 2022

Status

approved