%I #17 May 27 2014 00:15:24
%S 3,5,6,9,10,12,15,17,18,20,21,24,25,27,30,31,33,34,35,36,39,40,42,45,
%T 48,50,51,54,55,57,60,62,63,65,66,68,69,70,72,75,78,80,81,84,85,87,90,
%U 93,95,96,99,100,102,105,108,110,111,114,115,117,119,120,123,124,125,126
%N Positive integers n such that solution to the toric n X n "Lights Out" puzzle is not unique (up to the order of flippings; each flipping appears at most once).
%C Complement to the sequence A165741 in the set of positive integers.
%C Any positive multiple of a member of this sequence is also a member. Primitive elements are in A007802. - _Thomas Buchholz_, May 23 2014
%D See A165738 for the references.
%H Max Alekseyev and Thomas Buchholz, <a href="/A165740/b165740.txt">Table of n, a(n) for n = 1..1000</a> [terms 67 through 1000 were computed by Thomas Buchholz, May 20 2014]
%F A number n is in this sequence iff A165738(n) > 0.
%Y Cf. A159257, A075462, A117870, A165741, A007802, A165738.
%K nonn
%O 1,1
%A _Max Alekseyev_, Sep 25 2009
%E More terms from _Thomas Buchholz_, May 20 2014