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A241984
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.
2
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
OFFSET
0,2
COMMENTS
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.
LINKS
T. Khovanova and J. Xiong, Cookie Monster Plays Games, arXiv:1407.1533 [math.HO], 2014.
EXAMPLE
For n = 1 the a(1) = 7 P-positions are (0,0,0) and (0,1,2), and permutations.
CROSSREFS
Cf. A241983 (partial sums), A237686 (Nim), A241986 (At-Most-2-Jars Game), A241988 (Consecutive Game).
Sequence in context: A192594 A352243 A031337 * A301717 A152540 A073859
KEYWORD
nonn
AUTHOR
Tanya Khovanova and Joshua Xiong, Aug 10 2014
STATUS
approved