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A297117 Möbius transform of A011371, n minus (number of 1's in binary expansion of n). 5

%I #7 Dec 26 2017 21:25:47

%S 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,

%T 8,26,16,22,16,25,12,34,18,24,16,38,12,39,20,24,22,42,16,42,20,31,24,

%U 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

%N Möbius transform of A011371, n minus (number of 1's in binary expansion of n).

%H Antti Karttunen, <a href="/A297117/b297117.txt">Table of n, a(n) for n = 1..16384</a>

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

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

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

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

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

%K nonn

%O 1,4

%A _Antti Karttunen_, Dec 26 2017

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Last modified June 6 13:08 EDT 2024. Contains 373128 sequences. (Running on oeis4.)