OFFSET
1,3
COMMENTS
Moebius transform of A023896.
FORMULA
a(n) = (1/n) * Sum_{k=1..n} mu(gcd(n, k)) * lcm(n, k).
a(n) = Sum_{d|n} mu(n/d) * A023896(d).
Sum_{k=1..n} a(k) ~ n^3 / (Pi^2 * Zeta(3)). - Vaclav Kotesovec, Feb 19 2020
MATHEMATICA
PROG
(Magma) [&+[MoebiusMu(Gcd(n, k))*(k div Gcd(n, k)):k in [1..n]]:n in [1..60]]; // Marius A. Burtea, Feb 18 2020
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Feb 18 2020
STATUS
approved