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

1, 5, 57, 15, 489, 12675, 41, 4125, 321689, 24318165, 113, 35117, 8180343, 1840058693, 414295148741, 313, 299681, 208144601, 139304759213, 93332304864173, 62567386502084877, 867, 2557605, 5296282323, 10546705714473, 21026744638200555, 41945191530093646965, 83677847847984287628595

Offset

1,2

Links

Douglas Boffey, Table of n, a(n) for n = 1..190 (rows 1..19 flattened).

J. Tromp, Number of Legal Go Positions

Example

Triangle T(n,k) begins:
    1;
    5,    57;
   15,   489,   12675;
   41,  4125,  321689,   24318165;
  113, 35117, 8180343, 1840058693, 414295148741;
  ...

Crossrefs

Columns give: A102620, A266278.

Main diagonal gives A094777.

A356049 gives the table by antidiagonals.

Sequence in context: A203522 A180874 A336243 * A363059 A163793 A226425

Adjacent sequences: A356131 A356132 A356133 * A356135 A356136 A356137

Keyword

nonn,tabl

Author

Douglas Boffey, Jul 27 2022

Extensions

a(27) corrected by Sidney Cadot, Jan 5, 2023.

Status

approved