A358751 a(n) = 1 if bigomega(n) == 1 (mod 4), otherwise 0.

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

Offset

1

Comments

Equally, a(n) = 1 if A349905(n) == 1 (mod 4), otherwise 0.

Links

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

Index entries for characteristic functions

Index entries for sequences computed from exponents in factorization of n

Formula

a(n) = [A349905(n) == 1 (mod 4)], where [ ] is the Iverson bracket.

a(n) = A066829(n) - A358753(n).

a(n) = A358771(A003961(n)).

a(n) >= A010051(n).

Prog

(PARI) A358751(n) = (1==(bigomega(n)%4));

Crossrefs

Characteristic function of A358761.

Cf. A001222, A003415, A003961, A010051, A010873, A066829, A349905, A358753, A358771.

Sequence in context: A373497 A129950 A010051 * A252233 A374130 A374466

Adjacent sequences: A358748 A358749 A358750 * A358752 A358753 A358754

Keyword

nonn

Author

Antti Karttunen, Nov 29 2022

Status

approved