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.

A224512 Gray code variant of A147582.

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%I A224512 #13 Apr 23 2013 02:17:22
%S A224512 1,4,12,4,12,36,12,4,12,36,108,36,12,36,12,4,12,36,108,36,108,324,108,
%T A224512 36,12,36,108,36,12,36,12,4,12,36,108,36,108,324,108,36,108,324,972,
%U A224512 324,108,324,108,36,12,36,108,36,108,324,108,36,12,36,108
%N A224512 Gray code variant of A147582.
%C A224512 A147582 is generated by using the binary weight of n, A000120 = wt().
%C A224512 Here instead, A224512 uses the Gray code weight, A005811 = gt().
%F A224512 a(1) = 1. For a(n)>1, a(n) = 4 * 3^(gt(n-1)-1).
%e A224512 A003188(5-1) = 6 = 110 (base 2), so gt(5-1) = 2. Then a(5) = 12 = 4 * 3^1 = 12.
%o A224512 (PARI) gt(n) = sum(kk=1, n, (-1)^((kk/2^valuation(kk, 2)-1)/2)); \\ from A005811.
%o A224512 a(n) = if (n==1, 1, 4 * 3^(gt(n-1)-1)); \\ _Michel Marcus_, Apr 22 2013
%Y A224512 Cf. A147582, A224513.
%K A224512 nonn
%O A224512 1,2
%A A224512 _Gary W. Adamson_, Apr 08 2013