A378644 Möbius transform of A103977.

1, 0, 1, 0, 3, -2, 5, 0, 3, -2, 9, 0, 11, -2, 1, 0, 15, -2, 17, -2, 3, -2, 21, 0, 15, -2, 9, -4, 27, -2, 29, 0, 7, -2, 13, 0, 35, -2, 9, 0, 39, -6, 41, -4, 3, -2, 45, 0, 35, -10, 13, -4, 51, -10, 25, 0, 15, -2, 57, 2, 59, -2, 9, 0, 31, -14, 65, -4, 19, -18, 69, 0, 71, -2, 5, -4, 43, -18, 77, 0, 27, -2, 81, 4, 43

Offset: 1

Author

Antti Karttunen, Dec 03 2024

Keywords

• sign

Links

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

Crossrefs

Cf. A005101, A008683, A083254, A263837, A103977.

Programs

PARI

A378644(n) = sumdiv(n,d,moebius(n/d)*A103977(d));

Formula

a(n) = Sum_{d|n} A008683(d)*A103977(n/d).

a(n) = A083254(n) if n is a non-abundant number (A263837), and apparently never on abundant n, A005101.