A332463 Möbius transform of A332223.

1, 1, 3, 3, 7, 4, 15, 2, 21, 9, 31, 13, 63, 4, 10, 42, 127, -3, 255, 14, 21, 88, 511, 22, 117, 320, 24, 97, 1023, -22, 2047, -36, 190, 1444, 82, 34, 4095, -200, 120, 306, 8191, 14, 16383, -59, 13, 4180, 32767, 30, 609, -103, 15494, -303, 65535, 30, 141, -32, -6, 8920, 131071, 132, 262143, 506030, 564, 834, 658, -149

Offset: 1

Author

Antti Karttunen, Feb 22 2020

Keywords

• sign

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10000 (computed using Hans Havermann's factorization of A156552)
• Index entries for sequences computed from indices in prime factorization
• Index entries for sequences related to sigma(n)

Crossrefs

Cf. A008683, A332223.

Cf. also A003972, A324201, A324543.

Programs

PARI

A332463(n) = sumdiv(n,d,moebius(n/d)*A332223(d)); \\ Needs also code from A332223.

Formula

a(n) = Sum_{d|n} A008683(n/d) * A332223(d).