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a(n) is the number produced when n is converted to binary reflected Gray code, the binary digits are reversed and the code is converted back to decimal.
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%I #236 Jan 19 2017 10:29:10

%S 0,1,3,1,3,7,5,1,3,11,15,7,5,13,9,1,3,19,27,11,15,31,23,7,5,21,29,13,

%T 9,25,17,1,3,35,51,19,27,59,43,11,15,47,63,31,23,55,39,7,5,37,53,21,

%U 29,61,45,13,9,41,57,25,17,49,33,1,3,67,99,35,51,115,83,19,27,91,123,59,43

%N a(n) is the number produced when n is converted to binary reflected Gray code, the binary digits are reversed and the code is converted back to decimal.

%C a(n) = A003188(n) iff A014550(n) is palindromic.

%H Indranil Ghosh, <a href="/A280995/b280995.txt">Table of n, a(n) for n = 0..50000</a>

%e For n = 8, the binary reflected Gray code representation of n is '1100' which when reversed becomes '0011'; and 11_2 = 3_10. So, a(8) = 3.

%o (Python)

%o def a(n):

%o ....return int(bin(n^(n/2))[2:][::-1],2)

%Y Cf. A003188, A014550, A030101.

%K nonn,base

%O 0,3

%A _Indranil Ghosh_, Jan 19 2017