# [seqfan] Re: evil-odious numbers and permuted Thue-Morse, A143579 and A160018

franktaw at netscape.net franktaw at netscape.net
Tue Jan 26 22:11:38 CET 2010

```Yes, they are the same.

... he said, once he found out what "lodumo" means.  It isn't a
standard mathematical term, so it ought to be defined or a reference
provided everywhere it occurs.  I found only 1 definition, in A159970,
and no references.

The parity sequence for A143579 is A010059, and inductively, for each
pair 2n, 2n+1, the next evil and the next odious number are those two
integers (in one order or the other).

-----Original Message-----
From: Richard Mathar <mathar at strw.leidenuniv.nl>

When will these two differ (or are they the same):

http://research.att.com/~njas/sequences/?q=id:A160018|id:A143579
1,0,2,3,4,5,7,6,8,9,11,10,13,12,14,15,16,17,19,18,21,20,22,23,25,24,26,27
,28,29,31,30,32,33,35,34,37,36,38,39,41,40,42,43,44,45,47,46,49,48,50,51,
52,53,55,54,56,57,59,58,61,60,62,63,64,65,67,66,69,68,70,71,73,
1,0,2,3,4,5,7,6,8,9,11,10,13,12,14,15,16,17,19,18,21,20,22,23,25,24,26,27
,28,29,31,30,32,33,35,34,37,36,38,39,41,40,42,43,44,45,47,46,49,48,50,51,
52,53,55,54,56,57,59,58,61,60,62,63,64,65,67,66,69,68,70,71,73,

```