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A304527
Difference between A064664 (the inverse of EKG-sequence) and its Möbius-transform.
6
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
1,4
FORMULA
a(n) = A064664(n) - A304526(n).
a(n) = Sum_{d|n, d<n} A304526(d).
a(n) = -Sum_{d|n, d<n} A008683(n/d)*A064664(d).
For n >= 2, a(2*A000040(n))-1 = a(4*A000040(n)) = A064955(n). - Antti Karttunen, Dec 04 2022
PROG
(PARI) A304527(n) = -sumdiv(n, d, (d<n)*moebius(n/d)*A064664(d));
CROSSREFS
KEYWORD
nonn
AUTHOR
Antti Karttunen, May 18 2018
STATUS
approved