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.

127838, 364984531847631619, 3212797979972917332633146175485560069226398681488, 21570506042045917755280171226734858792217536499150631950302282702757299436929665640958967552

Offset: 1

Author

Ruediger Jehn, Kester Habermann and Pontus von Brömssen, Nov 25 2021

Keywords

• nonn
• frac

Comments

For the rules of Super Six see A349697.

Examples

			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...).
		

Links

• Ruediger Jehn, Table of n, a(n) for n = 1..11
• Rüdiger Jehn, Optimum Strategies for the Game Super Six, arXiv:2109.10700 [math.GM], 2021.
• Wikipedia, Super Six (in German)

Crossrefs

Cf. A345383, A349697.