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A297117 Möbius transform of A011371, n minus (number of 1's in binary expansion of n). 5
0, 1, 1, 2, 3, 2, 4, 4, 6, 4, 8, 4, 10, 6, 7, 8, 15, 6, 16, 8, 13, 10, 19, 8, 19, 12, 16, 12, 25, 8, 26, 16, 22, 16, 25, 12, 34, 18, 24, 16, 38, 12, 39, 20, 24, 22, 42, 16, 42, 20, 31, 24, 49, 18, 39, 24, 36, 28, 54, 16, 56, 30, 33, 32, 50, 20, 64, 32, 46, 24, 67, 24, 70, 36, 41, 36, 61, 24, 74, 32, 55, 40, 79, 24 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..16384

FORMULA

a(n) = Sum_{d|n} A008683(n/d) * (d - A000120(d)).

a(n) = A297111(n) - A000010(n).

a(n) = A297114(n) + A051953(n).

PROG

(PARI) A297117(n) = sumdiv(n, d, moebius(n/d)*(d-hammingweight(d)));

CROSSREFS

Cf. A000010, A000120, A008683, A011371, A051953, A297111, A297114, A297115.

Sequence in context: A153846 A284383 A072406 * A120680 A071494 A326764

Adjacent sequences:  A297114 A297115 A297116 * A297118 A297119 A297120

KEYWORD

nonn

AUTHOR

Antti Karttunen, Dec 26 2017

STATUS

approved

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Last modified October 23 20:31 EDT 2021. Contains 348215 sequences. (Running on oeis4.)