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A359764
Parity of A359763, where A359763 is the Dirichlet inverse of characteristic function of the numbers with an even number of prime factors (counted with multiplicity).
11
1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1
OFFSET
1
FORMULA
a(n) = A359763(n) mod 2.
a(n) = A359774(A003961(n)) = A359781(A003961(n)) = A359824(A003961(n)).
a(n) <= A065043(n). [See comments in A359763]
a(A030229(n)) = 1 for all n.
PROG
(PARI) A359764(n) = (A359763(n)%2);
CROSSREFS
Parity of A359763 and of A359791.
Characteristic function of A359765, whose complement A359766 gives the positions of 0's.
Cf. A003961, A030229, A359763, A359767 (where differs from A065043).
Cf. also A359595, A359774, A359781, A359824 for similar constructions.
Sequence in context: A338353 A267598 A194681 * A065043 A189298 A288375
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jan 13 2023
STATUS
approved