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A300724
Möbius transform of A053644(n), largest power of 2 less than or equal to n.
5
1, 1, 1, 2, 3, 1, 3, 4, 6, 3, 7, 2, 7, 3, 3, 8, 15, 6, 15, 6, 11, 7, 15, 4, 12, 7, 8, 6, 15, 3, 15, 16, 23, 15, 25, 12, 31, 15, 23, 12, 31, 11, 31, 14, 18, 15, 31, 8, 28, 12, 15, 14, 31, 8, 21, 12, 15, 15, 31, 6, 31, 15, 10, 32, 53, 23, 63, 30, 47, 25, 63, 24, 63, 31, 44, 30, 53, 23, 63, 24, 48, 31, 63, 22, 45, 31, 47, 28, 63, 18, 53, 30, 47, 31
OFFSET
1,4
LINKS
FORMULA
a(n) = Sum_{d|n} A008683(n/d)*A053644(d).
a(n) + A300725(n) = A000010(n).
PROG
(PARI)
A053644(n) = { my(k=1); while(k<=n, k<<=1); (k>>1); }; \\ From A053644
A300724(n) = sumdiv(n, d, moebius(n/d)*A053644(d));
KEYWORD
nonn
AUTHOR
Antti Karttunen, Mar 11 2018
STATUS
approved