Some more thoughts:

I believe Trice's figures are for one playet having at least
one piece on the board, but inclues the opponent having all 15 pieces
borne off, at which point it's not a game position, as the game is
over. (or you count all game over positions as one position).

So you need to remove one count for all the possible distributions
with 1 or more pieces on the 24 ponts of the board.

A harder one to analyse are the situations with large counts of pices
on the bar for both players. I suspect, but haven't thought long and
hard enough about it, that it's not possible to achieve things like 15
on the bar vs 12 on the bar.

-- 
Jim Segrave           [email protected]



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