%I #3 Mar 31 2012 13:23:39
%S 1,2,4,8,6,16,10,32,18,12,14,64,34,20,22,128,66,36,38,24,26,30,256,
%T 130,68,70,40,42,46,28,512,258,132,134,72,74,78,44
%N Natural numbers which map to the cyclic partitions; cf. A140691 for the complete set.
%C Note that A002865 gives the number of entries per column.
%e Table A140691 begins
%e 1..2..4..8..16..32
%e ..3..5..9..17..33
%e .....7.11..19..35
%e .......15..23..39
%e ...........31..47
%e ...............63
%e .................
%e ........6..10..18
%e ...........13..21
%e ...............27
%e since each matching case, say x, is generated by the rule "2x+1",
%e only the even cases map to cyclic partitions; so the sequence begins
%e 1..2..4..8..16..32
%e ........6..10..18
%e ...............12
%e ...............14
%Y Cf. A002865, A140691.
%K nonn
%O 1,2
%A _Alford Arnold_, May 23 2008