A304527 Difference between A064664 (the inverse of EKG-sequence) and its Möbius-transform.

0, 1, 1, 2, 1, 6, 1, 3, 5, 11, 1, 5, 1, 15, 14, 8, 1, 5, 1, 10, 18, 21, 1, 12, 10, 29, 6, 14, 1, 8, 1, 17, 24, 34, 23, 15, 1, 38, 32, 23, 1, 12, 1, 20, 12, 44, 1, 25, 14, 23, 37, 28, 1, 28, 29, 31, 41, 58, 1, 34, 1, 62, 16, 31, 37, 18, 1, 33, 47, 22, 1, 39, 1, 68, 25, 37, 33, 26, 1, 49, 22, 75, 1, 50, 42, 82, 61, 46, 1, 58, 41, 43, 65, 90, 46, 59, 1

Offset: 1

Author

Antti Karttunen, May 18 2018

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..32768
• Index entries for sequences related to EKG sequence

Crossrefs

Cf. A000040, A008683, A064664, A064955, A304526.

Programs

PARI

A304527(n) = -sumdiv(n, d, (dA064664(d));

Formula

a(n) = A064664(n) - A304526(n).

a(n) = Sum_{d|n, dA304526(d).

a(n) = -Sum_{d|n, dA008683(n/d)*A064664(d).

For n >= 2, a(2*A000040(n))-1 = a(4*A000040(n)) = A064955(n). - Antti Karttunen, Dec 04 2022