A330692 a(n) = n / gcd(n, A309639(n)), where A309639(n) is the index of the least harmonic number H_i whose denominator (A002805) is divisible by n.

1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 2, 3, 1, 1, 2, 1, 4, 7, 2, 1, 8, 1, 2, 1, 4, 1, 6, 1, 1, 3, 2, 5, 4, 1, 2, 3, 5, 1, 14, 1, 4, 5, 2, 1, 3, 1, 2, 3, 4, 1, 2, 5, 7, 3, 2, 1, 12, 1, 2, 7, 1, 5, 6, 1, 4, 23, 10, 1, 8, 1, 2, 3, 4, 7, 6, 1, 5, 1, 2, 1, 28, 5, 2, 3, 8, 1, 10, 7, 4, 3, 2, 5, 3, 1, 2, 9, 4, 1, 6, 1, 8, 35

Offset

1,6

Links

Antti Karttunen, Table of n, a(n) for n = 1..65537

Formula

a(n) = n/A330691(n) = n / gcd(n, A309639(n)).

Prog

(PARI) A330692(n) = (n/gcd(n, A309639(n)));

Crossrefs

Cf. A000961 (indices of 1's).

Cf. A002805, A309639, A330691, A330742.

Sequence in context: A052128 A284600 A114536 * A349658 A345992 A350333

Adjacent sequences: A330689 A330690 A330691 * A330693 A330694 A330695

Keyword

nonn

Author

Antti Karttunen, Dec 29 2019

Status

approved