

A241985


The number of Ppositions in the AtMost2Jars 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
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OFFSET

0,2


COMMENTS

In the AtMost2Jars 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

Table of n, a(n) for n=0..39.
T. Khovanova and J. Xiong, Cookie Monster Plays Games, arXiv:1407.1533 [math.HO], 2014.


EXAMPLE

For n = 1 the a(1) = 7 Ppositions 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



