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.

A102394 A wicked odious sequence.

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%I A102394 #5 Aug 02 2020 02:29:18
%S A102394 0,2,3,0,5,0,0,8,9,0,0,12,0,14,15,0,17,0,0,20,0,22,23,0,0,26,27,0,29,
%T A102394 0,0,32,33,0,0,36,0,38,39,0,0,42,43,0,45,0,0,48,0,50,51,0,53,0,0,56,
%U A102394 57,0,0,60,0,62,63,0,65,0,0,68,0,70,71,0,0,74,75,0,77,0,0,80,0,82,83,0,85,0
%N A102394 A wicked odious sequence.
%C A102394 Odious numbers plus one (A000069(n)+1) appear at positions indexed by the odious numbers, 0 otherwise. A000027(n) = A102393(n) + A102394(n).
%F A102394 a(n) = (n+1)(1-(-1)^A000120(n))/2.
%F A102394 a(n) = (n+1)(1-(-1)^A010060(n))/2.
%t A102394 a[n_] := If[OddQ @ DigitCount[n, 2, 1], n + 1, 0]; Array[a, 100, 0] (* _Amiram Eldar_, Aug 02 2020 *)
%Y A102394 Cf. A000027, A000069, A000120, A010060, A102392, A102393.
%K A102394 easy,nonn
%O A102394 0,2
%A A102394 _Paul Barry_, Jan 06 2005