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

1,2

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 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.

Links

Table of n, a(n) for n=1..82.

Ian C Haile, Python program

Crossrefs

Main diagonal of A354586 viewed as square array.

Sequence in context: A112132 A053381 A038712 * A065745 A361438 A268670

Adjacent sequences: A354584 A354585 A354586 * A354588 A354589 A354590

Keyword

easy,nonn

Author

Ian C Haile, Aug 18 2022

Status

approved