A356315 a(n) = 1 if n divides the least j >= n such that n and A276086(j) are coprime, otherwise 0. Here A276086 is the primorial base exp-function.

1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1

Offset

1

Links

Antti Karttunen, Table of n, a(n) for n = 1..65537

Index entries for characteristic functions

Index entries for sequences related to primorial base

Formula

a(n) = [0 == A356309(n) (mod n)], where [ ] is the Dirichlet inverse.

a(n) >= A356162(n).

Prog

(PARI) A356315(n) = !(A356309(n)%n);

Crossrefs

Characteristic function of A356316, whose complement A356317 gives the positions of zeros.

Cf. A002110, A276086, A356162, A356302, A356309, A356313.

Sequence in context: A359551 A353458 A110242 * A273592 A279693 A368992

Adjacent sequences: A356312 A356313 A356314 * A356316 A356317 A356318

Keyword

nonn

Author

Antti Karttunen, Nov 04 2022

Status

approved