A359160 a(n) = 1 if n is a number of the form 4u+1 with an even number of prime factors (counted with multiplicity), otherwise 0.

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

Offset

1

Links

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

Index entries for characteristic functions

Formula

a(n) = A065043(n) * A121262(n-1).

a(n) = A353557(n) - A359162(n).

a(n) = A121262(n-1) - A359150(n).

a(n) >= A353477(n).

Prog

(PARI) A359160(n) = (!(bigomega(n)%2)&&(1==(n%4)));

Crossrefs

Characteristic function of A359161.

Cf. A065043, A121262, A353477, A353557, A359150, A359162.

Sequence in context: A126811 A014057 A015689 * A326499 A104124 A347246

Adjacent sequences: A359157 A359158 A359159 * A359161 A359162 A359163

Keyword

nonn

Author

Antti Karttunen, Dec 17 2022

Status

approved