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

1,3

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)

Formula

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

Prog

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

Crossrefs

Cf. A008683, A332223.

Cf. also A003972, A324201, A324543.

Sequence in context: A002937 A085870 A336510 * A324573 A096633 A175482

Adjacent sequences: A332460 A332461 A332462 * A332464 A332465 A332466

Keyword

sign

Author

Antti Karttunen, Feb 22 2020

Status

approved