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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 (list; graph; refs; listen; history; text; internal format)
 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 Adjacent sequences:  A241985 A241986 A241987 * A241989 A241990 A241991 KEYWORD nonn AUTHOR Tanya Khovanova and Joshua Xiong, Aug 10 2014 STATUS approved

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Last modified November 28 01:24 EST 2021. Contains 349396 sequences. (Running on oeis4.)