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a(n) = position in A342753 of the base-2 representation of n.
6

%I #6 May 09 2021 09:58:32

%S 3,6,12,9,18,21,39,15,27,33,60,30,57,66,120,24,42,51,90,45,87,99,180,

%T 48,84,102,183,93,174,36,63,78,135,69,132,150,72,126,153,141,75,129,

%U 156,138,147,54,96,117,105,198,108,189,114,195,111,192,81,144,177

%N a(n) = position in A342753 of the base-2 representation of n.

%C Conjecture: (a(n)/3) is a permutation of the positive integers; see A342793.

%e Positions of 1,2,3,4 in base 2 can be read from a list of the first 16 words in A342753: 0, 00, 1, 000, 01, 10, 0000, 001, 100, 010, 00000, 11, 0001, 0100, 1000, 0010.

%t (See A342753.)

%Y Cf. A342753, A342793.

%K nonn,base

%O 1,1

%A _Clark Kimberling_, May 08 2021