%I A016741
%S A016741 2,3,5,6,7,8,11,13,18,19,22,26,30,43,70,71,76,84,140,153,223,224,
%T A016741 392,394,405,681,689,696,1149,1164,1747,1759,1760,2893,2894,2895,
%U A016741 4773
%N A016741 Initial pile sizes which guarantee a win for player 2 in a certain variant 
               of NIM.
%C A016741 Play starts with a single pile of N > 1 stones. Two players A and B take 
               turns removing stones from the pile.
%C A016741 Player A must remove at least one stone and may remove any number of 
               stones < N on turn A1. On subsequent turns, each player must remove 
               at least one stone and may remove any number of
%C A016741 stones not exceeding twice the number of stones removed by their opponent 
               on the previous turn. No player may remove the same number of stones
%C A016741 on consecutive turns if there are at least two stones remaining in the 
               pile. Sequence gives set of initial pile sizes which guarantee a 
               win for B.
%Y A016741 Sequence in context: A063966 A123030 A063752 this_sequence A006431 A151894 
               A028229
%Y A016741 Adjacent sequences: A016738 A016739 A016740 this_sequence A016742 A016743 
               A016744
%K A016741 nonn
%O A016741 1,1
%A A016741 John Lame (jlame(AT)imagecafe.com)