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Expected number of spins in a 2-player Dreidel game (rounded to nearest integer) (version 1).
2

%I #17 Oct 11 2021 18:57:28

%S 0,2,8,18,32,51,73,101,132,169,209,254,304,358,416,479,546,618

%N Expected number of spins in a 2-player Dreidel game (rounded to nearest integer) (version 1).

%C In this version, the "hei" move consists of taking floor(pot/2) nuts. - _Sean A. Irvine_, Oct 09 2021

%H Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a051/A051787.java">Java program</a> (github)

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Dreidel">Dreidel</a>

%H D. Zeilberger, <a href="https://sites.math.rutgers.edu/~zeilberg/mamarim/mamarimPDF/dreidel.pdf">Does Dreidel Last O(NUTS**2) Spins?</a>; <a href="/A051787/a051787.pdf">Local copy</a>

%e a(2) = round(12/5) = 2,

%e a(3) = round(162592/19519) = 8,

%e a(4) = round(136459340916/7533523723) = 18,

%e a(5) = round(20923804992638573248/650937480032084687) = 32,

%e a(6) = round(637272005051371097770340969580/12601582172451720543893605349) = 51.

%Y Cf. A348270.

%K nonn,more

%O 1,2

%A _Doron Zeilberger_, Dec 09 1999

%E a(16)-a(18) from _Sean A. Irvine_, Oct 09 2021