A354586 Table of Sprague-Grundy values for n X m 2D Toppling Dominoes L's read by antidiagonals.

1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 1, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 5, 9, 1, 9, 5, 9, 9, 10, 10, 10, 10, 2, 2, 10, 10, 10, 10, 11, 11, 11, 11, 3, 3, 3, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12

Offset

1,2

Comments

2D Toppling Dominoes is played in the same manner as conventional Toppling Dominoes, with the addition of toppling in the north and south directions. An n X m L is defined to be a column of n dominoes and a row of m dominoes intersecting at an endpoint for both row and column. An n X m L comprises n+m-1 dominoes.

T(a,b) = T(b,a).

It is known that alternating terms on the main diagonal are 1.

This table appears to approximate a fractal.

Links

Table of n, a(n) for n=1..78.

Ian C Haile, Python program

Crossrefs

Sequence in context: A194287 A194303 A124755 * A364480 A033810 A253272

Adjacent sequences: A354583 A354584 A354585 * A354587 A354588 A354589

Keyword

easy,nonn,tabl

Author

Ian C Haile, Aug 18 2022

Status

approved