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 A241985 The number of P-positions in the At-Most-2-Jars game with up to three piles, allowing for piles of zero, that are born in generation n. 2
 1, 7, 13, 13, 25, 37, 37, 43, 37, 43, 55, 49, 73, 79, 79, 109, 97, 115, 85, 97, 97, 145, 121, 109, 163, 151, 151, 115, 121, 181, 175, 211, 193, 193, 211, 169, 211, 271, 187, 181 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS In the At-Most-2-Jars game, there are several piles of counters. A player is allowed to take the same positive number of counters from any subset of two piles or any positive number of counters from one pile. The player who cannot move loses. a(n) is always 1 greater than a multiple of 6. 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 (1,1,1) and permutations of (0,1,2). CROSSREFS Cf. A241986 (first differences), A237711 (Nim), A241983 (Cookie Monster Game), A241987 (Consecutive Game). Sequence in context: A090229 A259222 A204713 * A194408 A057930 A332480 Adjacent sequences:  A241982 A241983 A241984 * A241986 A241987 A241988 KEYWORD nonn AUTHOR Tanya Khovanova and Joshua Xiong, Aug 10 2014 STATUS approved

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Last modified September 25 00:02 EDT 2020. Contains 337333 sequences. (Running on oeis4.)