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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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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; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 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
| Sequence in context: A123030 A063752 A191893 * A191167 A006431 A151894
Adjacent sequences: A016738 A016739 A016740 * A016742 A016743 A016744
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KEYWORD
| nonn
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AUTHOR
| John Lame (jlame(AT)imagecafe.com)
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