A344768 a(n) = n - A344767(n); Möbius transform of A344765.

0, 0, 2, 0, 2, 7, 2, 0, 3, 12, 2, 11, 2, 15, 15, 0, 2, 19, 2, 13, 22, 23, 2, 25, 5, 28, 9, 32, 2, 19, 2, 0, 33, 36, 30, 41, 2, 39, 40, 48, 2, 28, 2, 27, 47, 47, 2, 47, 7, 50, 51, 29, 2, 53, 58, 23, 58, 60, 2, 72, 2, 63, 48, 0, 55, 66, 2, 72, 69, 63, 2, 24, 2, 76, 76, 43, 71, 77, 2, 47, 27, 84, 2, 57, 70, 87, 87, 96, 2, 73

Offset: 1

Author

Antti Karttunen, May 30 2021

Keywords

• nonn
• look

Links

• Antti Karttunen, Table of n, a(n) for n = 1..16384
• Antti Karttunen, Data supplement: n, a(n) computed for n = 1..65537

Crossrefs

Cf. A008683, A011772, A344765, A344767.

Programs

PARI

A344767(n) = sumdiv(n,d,moebius(n/d)*A011772(d));
A344768(n) = (n-A344767(n));

Formula

a(n) = n - A344767(n) = n - Sum_{d|n} A008683(n/d) * A011772(d).

a(n) = Sum_{d|n} A008683(n/d) * A344765(d).