A324810 Sum of A324828(d) over the divisors d of n.

0, 1, 1, 2, 1, 2, 1, 2, 2, 3, 1, 4, 1, 2, 2, 2, 1, 4, 1, 4, 3, 2, 1, 4, 2, 2, 2, 4, 1, 4, 1, 2, 2, 2, 2, 6, 1, 2, 2, 4, 1, 4, 1, 4, 4, 2, 1, 4, 2, 5, 2, 4, 1, 4, 3, 4, 2, 2, 1, 6, 1, 2, 4, 2, 2, 4, 1, 4, 2, 4, 1, 6, 1, 2, 4, 4, 2, 4, 1, 4, 2, 2, 1, 8, 2, 2, 2, 4, 1, 8, 3, 4, 2, 2, 2, 4, 1, 3, 4, 6, 1, 4, 1, 4, 4

Offset

1,4

Comments

Inverse Möbius transform of A324828.

Links

Antti Karttunen, Table of n, a(n) for n = 1..10000 (based on Hans Havermann's factorization of A156552)

Index entries for sequences related to binary expansion of n

Index entries for sequences computed from indices in prime factorization

Index entries for sequences related to sigma(n)

Formula

a(n) = Sum_{d|n} A324828(d).

a(p) = 1 for all primes p.

A000035(a(n)) = A324823(n) = A323243(n) mod 2.

Prog

(PARI)
A324712(n) = { my(v=0); fordiv(n, d, if(issquarefree(n/d), v=bitxor(v, A323243(d)))); (v); }; \\ Needs also code from A323243.
A324828(n) = (A324712(n)%2);
A324810(n) = sumdiv(n, d, A324828(d));

Crossrefs

Cf. A000203, A156552, A323243, A324543, A324712, A324823, A324825, A324828.

Sequence in context: A057828 A082498 A112223 * A353351 A178771 A289498

Adjacent sequences: A324807 A324808 A324809 * A324811 A324812 A324813

Keyword

nonn

Author

Antti Karttunen, Mar 17 2019

Status

approved