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.

A297116 Odd bisection of A297115, Möbius transform of A000120 (binary weight of n).

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%I A297116 #5 Dec 26 2017 21:25:23
%S A297116 1,1,1,2,0,2,2,1,1,2,-1,3,1,2,3,4,-2,-1,2,0,2,3,0,4,0,1,3,1,0,4,4,3,
%T A297116 -2,2,-2,3,2,-1,-1,4,-1,3,1,0,3,0,-1,2,2,2,3,4,0,4,4,2,3,0,1,2,2,2,3,
%U A297116 6,-3,2,-2,-2,2,3,-2,0,-2,1,3,4,0,-1,4,1,-3,3,-1,4,1,1,4,2,-2,4,4,0,1,2,-2,6,2,0,3,4,0,-1,1,3,-1
%N A297116 Odd bisection of A297115, Möbius transform of A000120 (binary weight of n).
%H A297116 Antti Karttunen, <a href="/A297116/b297116.txt">Table of n, a(n) for n = 1..16384</a>
%H A297116 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%F A297116 a(n) = A297115(2n - 1).
%o A297116 (PARI)
%o A297116 A297115(n) = sumdiv(n,d,moebius(n/d)*hammingweight(d));
%o A297116 A297116(n) = A297115(n+n-1);
%Y A297116 Cf. A000120, A297115.
%K A297116 sign
%O A297116 1,4
%A A297116 _Antti Karttunen_, Dec 26 2017