A171968 Odd numbers of A181733 in the order of appearance.

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, 23, 27, 31, 1, 33, 17, 49, 9, 25, 41, 57, 5, 13, 21, 29, 37, 45, 53, 61, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 55, 59, 63

Offset: 0

Author

Paul Curtz, Nov 19 2010

Keywords

• nonn

Comments

This deals with an aspect of the Josephus problem.

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

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

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, 23, 27, 31;

or

1, 1,

1, 3,

1, 5, 3, 7,

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

The even numbers of A181733 are essentially A152423:

2,

2,4,

2,4,6,8,

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

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

(End)

Links

• Index entries for sequences related to the Josephus Problem

Crossrefs

Cf. A090129.