cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

This page as a plain text file.
%I A297117 #7 Dec 26 2017 21:25:47
%S A297117 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 A297117 8,26,16,22,16,25,12,34,18,24,16,38,12,39,20,24,22,42,16,42,20,31,24,
%U A297117 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 A297117 Möbius transform of A011371, n minus (number of 1's in binary expansion of n).
%H A297117 Antti Karttunen, <a href="/A297117/b297117.txt">Table of n, a(n) for n = 1..16384</a>
%F A297117 a(n) = Sum_{d|n} A008683(n/d) * (d - A000120(d)).
%F A297117 a(n) = A297111(n) - A000010(n).
%F A297117 a(n) = A297114(n) + A051953(n).
%o A297117 (PARI) A297117(n) = sumdiv(n,d,moebius(n/d)*(d-hammingweight(d)));
%Y A297117 Cf. A000010, A000120, A008683, A011371, A051953, A297111, A297114, A297115.
%K A297117 nonn
%O A297117 1,4
%A A297117 _Antti Karttunen_, Dec 26 2017