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Search: id:A016741
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| A016741 |
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Initial pile sizes which guarantee a win for player 2 in a certain variant of NIM. |
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+0
3
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| 2, 3, 5, 6, 7, 8, 11, 13, 18, 19, 22, 26, 30, 43, 70, 71, 76, 84, 140, 153, 223, 224, 392, 394, 405, 681, 689, 696, 1149, 1164, 1747, 1759, 1760, 2893, 2894, 2895, 4773
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Play starts with a single pile of N > 1 stones. Two players A and B take turns removing stones from the pile.
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
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
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.
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CROSSREFS
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Adjacent sequences: A016738 A016739 A016740 this_sequence A016742 A016743 A016744
Sequence in context: A063966 A123030 A063752 this_sequence A006431 A151894 A028229
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KEYWORD
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nonn
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AUTHOR
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John Lame (jlame(AT)imagecafe.com)
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