

A278830


Maximal number of possible moves at the nth ply of a chess game.


2




OFFSET

1,1


COMMENTS

In view of the 75moves rule any chess game is finite.
The largest value appearing in the sequence is thought to be 218.  François Labelle, Dec 01 2016


LINKS



EXAMPLE

In the initial position of the chess game, each player has 20 possible moves (16 pawn moves and 4 knight moves), and the first (half)move made by White does not affect the 20 possibilities Black will have thereafter.
At its second move, i.e., ply 3 of the game, White may have as much as 31 possible moves, if White started with e2e4 as first move, and Black offered a pawn with d7d5 or f7f5.


CROSSREFS

Cf. A278831: minimal number of possible moves at the nth ply.
Cf. A278832: maximal material difference at the end of the nth ply.


KEYWORD

nonn,hard,more,fini


AUTHOR



EXTENSIONS



STATUS

approved



