A359770 a(n) = 1 if n and bigomega(n) are of different parity, otherwise 0. Here bigomega (A001222) gives the number of prime factors of n with multiplicity.

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

Offset

1

Links

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

Index entries for characteristic functions

Formula

a(n) = A000035(A069345(n)) = A000035(n-A001222(n)).

a(n) = A353556(n) + A353557(n).

Prog

(PARI) A359770(n) = ((n-bigomega(n))%2);

Crossrefs

Parity of A069345, and of A359769 (also the absolute values).

Characteristic function of A359771, whose complement A359772 gives the positions of 0's.

Sum of A353556 and A353557.

Cf. A000035, A001222, A065043 [= a(A003961(n))], A359815 (Dirichlet inverse).

Sequence in context: A015556 A336040 A359769 * A015780 A011642 A016338

Adjacent sequences: A359767 A359768 A359769 * A359771 A359772 A359773

Keyword

nonn

Author

Antti Karttunen, Jan 15 2023

Status

approved