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A356134 Triangular array giving total number of legal Go positions on an n X k board.

%I A356134 #30 Jun 27 2025 21:32:51
%S A356134 1,5,57,15,489,12675,41,4125,321689,24318165,113,35117,8180343,
%T A356134 1840058693,414295148741,313,299681,208144601,139304759213,
%U A356134 93332304864173,62567386502084877,867,2557605,5296282323,10546705714473,21026744638200555,41945191530093646965,83677847847984287628595
%N A356134 Triangular array giving total number of legal Go positions on an n X k board.
%H A356134 Douglas Boffey, <a href="/A356134/b356134.txt">Table of n, a(n) for n = 1..190</a> (rows 1..19 flattened).
%H A356134 J. Tromp, <a href="https://tromp.github.io/go/legal.html">Number of Legal Go Positions</a>
%e A356134 Triangle T(n,k) begins:
%e A356134     1;
%e A356134     5,    57;
%e A356134    15,   489,   12675;
%e A356134    41,  4125,  321689,   24318165;
%e A356134   113, 35117, 8180343, 1840058693, 414295148741;
%e A356134   ...
%Y A356134 Columns give: A102620, A266278.
%Y A356134 Main diagonal gives A094777.
%Y A356134 A356049 gives the table by antidiagonals.
%K A356134 nonn,tabl
%O A356134 1,2
%A A356134 _Douglas Boffey_, Jul 27 2022
%E A356134 a(27) corrected by _Sidney Cadot_, Jan 05 2023.