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A269417 Number of Go games on n X n board with no repeating position and suicide allowed. 1
1, 1, 386356909593 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

I only chose starting offset 0 because the number of 3 X 3 games is unknown (and over a thousand digits).

a(n) is also the number of simple paths in the Go game graph starting at the empty position.

a(n) is upper bounded by n^{2*3^{n^2}}, as shown in Theorem 7 from the linked paper.

LINKS

Table of n, a(n) for n=0..2.

J. Tromp and G. Farneb├Ąck, Combinatorics of Go, Lecture Notes in Computer Science, 4630, 84-99, 2007.

EXAMPLE

a(1) = 1 since the only legal Go game on a 1 X 1 board is Black pass, White pass.

CROSSREFS

Cf. A094777.

Sequence in context: A172714 A080132 A080122 * A281963 A082411 A113952

Adjacent sequences:  A269414 A269415 A269416 * A269418 A269419 A269420

KEYWORD

nonn,more,bref,hard

AUTHOR

John Tromp, Feb 25 2016

STATUS

approved

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Last modified December 10 04:15 EST 2019. Contains 329885 sequences. (Running on oeis4.)