A378653 a(n) = A378648(n) - sigma(n).

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, 20, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 36, 0, 0, 0, 14, 0, 12, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 20, 0, 8, 0, 0, 0, 84, 0, 0, 0, 0, 0, 12, 0, 0, 0, 4, 0, 156, 0, 0, 0, 0, 0, 12, 0, 54, 0, 0, 0, 88, 0, 0, 0, 4, 0, 86, 0, 0, 0, 0, 0, 196, 0, 0, 0, 22, 0, 12, 0, 2, 0

Offset: 1

Author

Antti Karttunen, Dec 03 2024

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..20000

Crossrefs

Inverse Möbius transform of A378650.

Cf. A000203, A378648.

Cf. A005101 (positions of nonzero terms), A263837 (of 0's).

Programs

PARI

A378653(n) = (A378648(n) - sigma(n));

Formula

a(n) = A378648(n) - A000203(n).

a(n) = Sum_{d|n} A378650(d).