A345373 Sum of the divisor complements of the unitary prime divisors of n.

0, 1, 1, 0, 1, 5, 1, 0, 0, 7, 1, 4, 1, 9, 8, 0, 1, 9, 1, 4, 10, 13, 1, 8, 0, 15, 0, 4, 1, 31, 1, 0, 14, 19, 12, 0, 1, 21, 16, 8, 1, 41, 1, 4, 9, 25, 1, 16, 0, 25, 20, 4, 1, 27, 16, 8, 22, 31, 1, 32, 1, 33, 9, 0, 18, 61, 1, 4, 26, 59, 1, 0, 1, 39, 25, 4, 18, 71, 1, 16, 0, 43

Offset

1,6

Comments

a(p) = 1 for p prime.

Links

Table of n, a(n) for n=1..82.

Formula

a(n) = n * Sum_{p|n, p prime} floor(1/gcd(p,n/p)) / p.

Example

a(30) = 30 * Sum_{p|30, p prime} floor(1/gcd(p,30/p))/p = 30 * (1/2 + 1/3 + 1/5) = 31.

Crossrefs

Cf. A063956.

Sequence in context: A320606 A343016 A058177 * A204619 A228077 A204170

Adjacent sequences: A345370 A345371 A345372 * A345374 A345375 A345376

Keyword

nonn

Author

Wesley Ivan Hurt, Jun 16 2021

Status

approved