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Odd numbers of A181733 in the order of appearance.
1

%I #14 Jun 23 2020 19:23:20

%S 1,1,1,3,1,5,3,7,1,9,5,13,3,7,11,15,1,17,9,25,5,13,21,29,3,7,11,15,19,

%T 23,27,31,1,33,17,49,9,25,41,57,5,13,21,29,37,45,53,61,3,7,11,15,19,

%U 23,27,31,35,39,43,47,51,55,59,63

%N Odd numbers of A181733 in the order of appearance.

%C This deals with an aspect of the Josephus problem.

%C Contribution from Paul Curtz, May 30 2011: (Start)

%C For comparison with A000265, one can arrange the sequence in blocks of length (and with row sum) 2^k, like

%C 1;

%C 1;

%C 1, 3;

%C 1, 5, 3, 7;

%C 1, 9, 5, 13, 3, 7, 11, 15;

%C 1, 17, 9, 25, 5, 13, 21, 29, 3, 7, 11, 15, 19, 23, 27, 31;

%C or

%C 1, 1,

%C 1, 3,

%C 1, 5, 3, 7,

%C 1, 9, 5, 13, 3, 7, 11, 15,

%C The even numbers of A181733 are essentially A152423:

%C 2,

%C 2,4,

%C 2,4,6,8,

%C 2,4,6,8,10,12,14,16,

%C 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32.

%C (End)

%H <a href="/index/J#Josephus">Index entries for sequences related to the Josephus Problem</a>

%Y Cf. A090129.

%K nonn

%O 0,4

%A _Paul Curtz_, Nov 19 2010