A029881 Möbius transform of Thue-Morse sequence A001285 (when shifted once right).

1, 1, 1, -1, 1, -2, 0, 1, 0, -2, 0, 2, 0, 0, -1, -1, 1, 0, 0, 2, -1, 0, 1, -2, -1, 0, 0, 0, 1, 2, 0, 1, 0, -2, -1, 0, 0, 0, 0, -2, 0, 2, 1, 0, 0, -2, 0, 2, 0, 2, -1, 0, 1, 0, -1, 0, 0, -2, 0, -2, 0, 0, 1, -1, 0, 0, 0, 2, -2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, -1, 0, 1, -2, -1, -2, -2, 0, 1, 0, 0, 2, -1, 0, 0, -2, 0, 0, 0, -2, 1

Offset: 1

Author

N. J. A. Sloane

Keywords

• sign

Links

• Antti Karttunen, Table of n, a(n) for n = 1..20000
• N. J. A. Sloane, Transforms
• Index entries for sequences related to binary expansion of n

Crossrefs

Cf. A001285, A008683.

Programs

PARI

A029881(n) = sumdiv(n,d,moebius(n/d)*(1+(hammingweight(d-1)%2))); \\ Antti Karttunen, Dec 15 2024

Formula

a(n) = Sum_{d|n} A008683(n/d)*A001285(d-1). - Antti Karttunen, Dec 15 2024

Extensions

Starting offset corrected (from 0 to 1), more terms added and definition clarified by Antti Karttunen, Dec 15 2024