A369255 Parity of A140773, where A140773 is the inverse Möbius transform of A038548.

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

Offset

1

Comments

Also parity of the inverse Möbius transform of A369253.

Links

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

Jon Maiga, Computer-generated formulas for A369255, Sequence Machine.

Index entries for characteristic functions

Formula

a(n) = A000035(A140773(n)).

From Antti Karttunen, Nov 14 2024: (Start)

Following convolution formulas have been conjectured for this sequence by Sequence Machine, with both computing the first 2^20 terms correctly:

a(n) = Sum_{d|n} A007875(d)*A219009(n/d).

a(n) = Sum_{d|n} A140773(d)*A355837(n/d).

(End)

Prog

(PARI)
A038548(n) = sumdiv(n, d, 1-(bigomega(d)%2));
A369255(n) = (sumdiv(n, d, A038548(d))%2);

Crossrefs

Characteristic function of A369256.

Cf. A000035, A038548, A140773, A369253.

Cf. A007875, A219009, A355837.

Sequence in context: A320656 A354819 A322075 * A378215 A288220 A173856

Adjacent sequences: A369252 A369253 A369254 * A369256 A369257 A369258

Keyword

nonn

Author

Antti Karttunen, Jan 24 2024

Status

approved