

A241984


The number of Ppositions 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
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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

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 (0,0,0) and (0,1,2), and permutations.


CROSSREFS

Cf. A241983 (partial sums), A237686 (Nim), A241986 (AtMost2Jars Game), A241988 (Consecutive Game).
Sequence in context: A215421 A192594 A031337 * A301717 A152540 A073859
Adjacent sequences: A241981 A241982 A241983 * A241985 A241986 A241987


KEYWORD

nonn


AUTHOR

Tanya Khovanova and Joshua Xiong, Aug 10 2014


STATUS

approved



