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.

A029881 Möbius transform of Thue-Morse sequence A001285 (when shifted once right).

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%I A029881 #13 Jul 08 2025 19:24:12
%S A029881 1,1,1,-1,1,-2,0,1,0,-2,0,2,0,0,-1,-1,1,0,0,2,-1,0,1,-2,-1,0,0,0,1,2,
%T A029881 0,1,0,-2,-1,0,0,0,0,-2,0,2,1,0,0,-2,0,2,0,2,-1,0,1,0,-1,0,0,-2,0,-2,
%U A029881 0,0,1,-1,0,0,0,2,-2,2,1,0,0,0,1,0,1,0,0,2,-1,0,1,-2,-1,-2,-2,0,1,0,0,2,-1,0,0,-2,0,0,0,-2,1
%N A029881 Möbius transform of Thue-Morse sequence A001285 (when shifted once right).
%H A029881 Antti Karttunen, <a href="/A029881/b029881.txt">Table of n, a(n) for n = 1..20000</a>
%H A029881 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%H A029881 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%F A029881 a(n) = Sum_{d|n} A008683(n/d)*A001285(d-1). - _Antti Karttunen_, Dec 15 2024
%o A029881 (PARI) A029881(n) = sumdiv(n,d,moebius(n/d)*(1+(hammingweight(d-1)%2))); \\ _Antti Karttunen_, Dec 15 2024
%Y A029881 Cf. A001285, A008683.
%K A029881 sign
%O A029881 1,6
%A A029881 _N. J. A. Sloane_
%E A029881 Starting offset corrected (from 0 to 1), more terms added and definition clarified by _Antti Karttunen_, Dec 15 2024