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A140692 Natural numbers which map to the cyclic partitions; cf. A140691 for the complete set.

%I A140692 #3 Mar 31 2012 13:23:39
%S A140692 1,2,4,8,6,16,10,32,18,12,14,64,34,20,22,128,66,36,38,24,26,30,256,
%T A140692 130,68,70,40,42,46,28,512,258,132,134,72,74,78,44
%N A140692 Natural numbers which map to the cyclic partitions; cf. A140691 for the complete set.
%C A140692 Note that A002865 gives the number of entries per column.
%e A140692 Table A140691 begins
%e A140692 1..2..4..8..16..32
%e A140692 ..3..5..9..17..33
%e A140692 .....7.11..19..35
%e A140692 .......15..23..39
%e A140692 ...........31..47
%e A140692 ...............63
%e A140692 .................
%e A140692 ........6..10..18
%e A140692 ...........13..21
%e A140692 ...............27
%e A140692 since each matching case, say x, is generated by the rule "2x+1",
%e A140692 only the even cases map to cyclic partitions; so the sequence begins
%e A140692 1..2..4..8..16..32
%e A140692 ........6..10..18
%e A140692 ...............12
%e A140692 ...............14
%Y A140692 Cf. A002865, A140691.
%K A140692 nonn
%O A140692 1,2
%A A140692 _Alford Arnold_, May 23 2008