A268113 Number of legal positions in Go played on an n X n+1 grid (each group must have at least one liberty).

5, 489, 321689, 1840058693, 93332304864173, 41945191530093646965, 166931297609667912727898521, 5882748866432370655674372752123193, 1835738613899845421140262364853644706891109, 5072588588647327658457862518216696854885169490987149

Offset

1,1

Comments

Upper bounded by 3^{n*(n+1)}.

Links

John Tromp, Table of n, a(n) for n = 1..19

John Tromp, Number of legal Go positions

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

Example

For n=1 the 5 legal 1x2 boards are .. X. O. .X .O

Crossrefs

Almost-square version of A094777.

Sequence in context: A206502 A198249 A160363 * A308132 A352181 A152513

Adjacent sequences: A268110 A268111 A268112 * A268114 A268115 A268116

Keyword

nonn,hard

Author

John Tromp, Jan 26 2016

Status

approved