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A241988
The number of P-positions in the Consecutive game with at most three piles, allowing for piles of zero, that are born by generation n.
3
1, 6, 15, 28, 41, 64, 93, 122, 151, 190, 229, 276, 337, 394, 445, 508, 581, 660, 741, 820, 903, 996, 1083, 1170, 1275, 1372, 1467, 1590, 1711, 1848, 1977, 2088, 2213, 2358, 2489, 2648, 2801, 2972, 3133, 3306
OFFSET
0,2
COMMENTS
In the Consecutive game, there are several piles of counters. A player is allowed to take the same positive number of counters from any subset of consecutive piles or any positive number of counters from one pile. 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) = 6 P-positions are (0,0,0), (1,0,1), (0,1,2), (0,2,1), (1,2,0), and (2,1,0).
CROSSREFS
Cf. A241987 (partial sums), A237686 (Nim), A241984 (Cookie Monster Game), A241986 (At-Most-2-Jars Game).
Sequence in context: A161777 A117519 A091012 * A058008 A094142 A081873
KEYWORD
nonn
AUTHOR
Tanya Khovanova and Joshua Xiong, Aug 10 2014
STATUS
approved