A349698 - OEIS

A349698

Denominators of the probability that the first player wins the game Super Six if both players have n sticks in their hand and if there are 3 sticks on the lid, assuming optimal play.

%I #18 Dec 15 2021 07:50:46

%S 127838,364984531847631619,

%T 3212797979972917332633146175485560069226398681488,

%U 21570506042045917755280171226734858792217536499150631950302282702757299436929665640958967552

%N Denominators of the probability that the first player wins the game Super Six if both players have n sticks in their hand and if there are 3 sticks on the lid, assuming optimal play.

%C For the rules of Super Six see A349697.

%H Ruediger Jehn, <a href="/A349698/b349698.txt">Table of n, a(n) for n = 1..11</a>

%H Rüdiger Jehn, <a href="https://arxiv.org/abs/2109.10700">Optimum Strategies for the Game Super Six</a>, arXiv:2109.10700 [math.GM], 2021.

%H Wikipedia, <a href="https://de.wikipedia.org/wiki/Super_Six_(Spiel)">Super Six</a> (in German)

%e a(1) = 127838 because the probability that the first player wins the game Super Six, when both players have 1 stick and there are 3 sticks on the lid, is 78307/127838 (0.612548...).

%Y Cf. A345383, A349697.

%K nonn,frac

%O 1,1

%A _Ruediger Jehn_, _Kester Habermann_ and _Pontus von Brömssen_, Nov 25 2021