Ian C Haile - cp's OEIS frontend

User: Ian C Haile

Ian C Haile has authored 2 sequences.

A354587 Diagonal of Sprague-Grundy values for n X m 2D Toppling Dominoes L's.

1, 3, 1, 7, 1, 3, 1, 15, 1, 3, 1, 7, 1, 3, 1, 31, 1, 3, 1, 7, 1, 3, 1, 15, 1, 3, 1, 49, 1, 3, 1, 63, 1, 3, 1, 7, 1, 3, 1, 15, 1, 3, 1, 7, 1, 3, 1, 31, 1, 3, 1, 8, 1, 9, 1, 11, 1, 5, 1, 5, 1, 111, 1, 127, 1, 3, 1, 7, 1, 3, 1, 15, 1, 3, 1, 21, 1, 3, 1, 31, 1, 3

Offset: 1

Ian C Haile, Aug 18 2022

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 as 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.

It is known that alternate terms are 1.

Ian C Haile, Python program

Main diagonal of A354586 viewed as square array.

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

Original entry on oeis.org

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

Ian C Haile, Aug 18 2022

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.

Ian C Haile, Python program

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User: Ian C Haile

A354587 Diagonal of Sprague-Grundy values for n X m 2D Toppling Dominoes L's.

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