A300726 -id:A300726 - cp's OEIS frontend

A300724 Möbius transform of A053644(n), largest power of 2 less than or equal to n.

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

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Antti Karttunen, Mar 11 2018

nonn

Antti Karttunen, Table of n, a(n) for n = 1..65537

Cf. A000010, A053644, A297111, A297115, A300723, A300725, A300726.

A053644(n) = { my(k=1); while(k<=n, k<<=1); (k>>1); }; \\ From A053644
A300724(n) = sumdiv(n,d,moebius(n/d)*A053644(d));

a(n) = Sum_{d|n} A008683(n/d)*A053644(d).

a(n) + A300725(n) = A000010(n).

cp's OEIS Frontend

A300724 Möbius transform of A053644(n), largest power of 2 less than or equal to n.

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