A359835 a(n) = 0 if A353418(n) = 0, otherwise 1. Here A353418 is Dirichlet inverse of the characteristic function for numbers k at which points A156552(k) is a multiple of 3.

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

Offset

1

Comments

In contrast to A359836, which seems to satisfy A359836(n) <= A353269(n), here a(n) - A353269(n) may obtain any of the values -1, 0 or +1.

Links

Antti Karttunen, Table of n, a(n) for n = 1..100000

Index entries for sequences computed from indices in prime factorization

Formula

a(n) = [A353418(n) != 0], where [ ] is the Iverson bracket.

a(n) = a(A003961(n)) = a(A348717(n)), for all n >= 1.

a(n) >= A359836(n).

Prog

(PARI) A359835(n) = !!A353418(n);

Crossrefs

Characteristic function for nonzero terms of A353418.

Cf. A156552, A353269, A359836.

Sequence in context: A330682 A230135 A359836 * A353331 A353269 A205633

Adjacent sequences: A359832 A359833 A359834 * A359836 A359837 A359838

Keyword

nonn

Author

Antti Karttunen, Jan 21 2023

Status

approved