A051787 Expected number of spins in a 2-player Dreidel game (rounded to nearest integer) (version 1).

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

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..18.

Sean A. Irvine, Java program (github)

Wikipedia, Dreidel

D. Zeilberger, Does Dreidel Last O(NUTS**2) Spins?; Local copy

Example

a(2) = round(12/5) = 2,
a(3) = round(162592/19519) = 8,
a(4) = round(136459340916/7533523723) = 18,
a(5) = round(20923804992638573248/650937480032084687) = 32,
a(6) = round(637272005051371097770340969580/12601582172451720543893605349) = 51.

Crossrefs

Cf. A348270.

Sequence in context: A379803 A361905 A336489 * A050804 A081324 A361903

Adjacent sequences: A051784 A051785 A051786 * A051788 A051789 A051790

Keyword

nonn,more

Author

Doron Zeilberger, Dec 09 1999

Extensions

a(16)-a(18) from Sean A. Irvine, Oct 09 2021

Status

approved