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A268113
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Number of legal positions in Go played on an n X n+1 grid (each group must have at least one liberty).
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1
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5, 489, 321689, 1840058693, 93332304864173, 41945191530093646965, 166931297609667912727898521, 5882748866432370655674372752123193, 1835738613899845421140262364853644706891109, 5072588588647327658457862518216696854885169490987149
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OFFSET
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1,1
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COMMENTS
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Upper bounded by 3^{n*(n+1)}.
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LINKS
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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.
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EXAMPLE
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For n=1 the 5 legal 1x2 boards are .. X. O. .X .O
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CROSSREFS
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Almost-square version of A094777.
Sequence in context: A206502 A198249 A160363 * A152513 A012822 A124358
Adjacent sequences: A268110 A268111 A268112 * A268114 A268115 A268116
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KEYWORD
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nonn,hard
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AUTHOR
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John Tromp, Jan 26 2016
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STATUS
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approved
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