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

1,3

Links

Antti Karttunen, Table of n, a(n) for n = 1..16384

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

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).

Prog

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

Crossrefs

Cf. A008683, A011772, A344765, A344767.

Sequence in context: A111111 A185343 A161014 * A363027 A235712 A154852

Adjacent sequences: A344765 A344766 A344767 * A344769 A344770 A344771

Keyword

nonn,look

Author

Antti Karttunen, May 30 2021

Status

approved