A330734 a(n) = n - A309639(n), where A309639(n) is the index of the least harmonic number H_i whose denominator (A002805) is divisible by n.

0, 0, 0, 0, 0, 3, 0, 0, 0, 5, 0, 8, 0, 7, 10, 0, 0, 9, 0, 15, 12, 11, 0, 15, 0, 13, 0, 21, 0, 25, 0, 0, 22, 17, 28, 27, 0, 19, 26, 32, 0, 33, 0, 33, 36, 23, 0, 32, 0, 25, 34, 39, 0, 27, 44, 48, 38, 29, 0, 55, 0, 31, 54, 0, 52, 55, 0, 51, 45, 63, 0, 63, 0, 37, 50, 57, 66, 65, 0, 64, 0, 41, 0, 75, 68, 43, 58, 77, 0, 81

Offset: 1

Author

Antti Karttunen, Jan 10 2020

Keywords

• nonn

Links

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

Crossrefs

Cf. A000961 (indices of zeros), A309639, A330691, A330692, A330735.

Programs

PARI

A330734(n) = (n-A309639(n));

Formula

a(n) = n - A309639(n).