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A241984
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The number of P-positions in the Cookie Monster game with at most three piles, allowing for piles of zero, that are born by generation n.
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2
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1, 7, 19, 37, 55, 82, 127, 166, 232, 316, 385, 463, 547, 634, 706, 805, 922, 1036, 1165, 1294, 1429, 1597, 1735, 1888, 2041, 2203, 2395, 2596, 2749, 2911, 3133, 3337, 3559, 3772, 4009, 4261, 4489, 4723, 4987, 5242
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OFFSET
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0,2
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COMMENTS
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In the Cookie Monster game, there are several piles of counters. A player is allowed to take the same positive number of counters from any nonempty subset of the piles. The player who cannot move loses.
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LINKS
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EXAMPLE
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For n = 1 the a(1) = 7 P-positions are (0,0,0) and (0,1,2), and permutations.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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