Computer Chess Club Archives


Search

Terms

Messages

Subject: Re: 6 piece TB's

Author: George Tsavdaris

Date: 10:51:37 01/14/05

Go up one level in this thread


On January 14, 2005 at 13:03:20, Dan Wulff wrote:

>Hi!
>
>I'm trying to figure out the total number of TB's there will be with kxxkxx (3
>vs 3 pieces) once they are all created. I have come to 120, but I am not sure I
>did the math correctly.
>
>Can someone provide me with the correct number, and possibly a list of the
>classes ??

The formula is:  f( (f(x+1 , 2) + 1) , 2)

where f(a,b) = a!/(b!(a-b)!)  and  a! = 1·2·3·....·(a-1)·a
and x= number of pieces wanted for the tablebase.

So since now x=5 (P,N,B,R,Q) we have:

f( (f(6,2)+1) , 2) = f(16 , 2) = 120

So you are right................



This page took 0 seconds to execute

Last modified: Thu, 15 Apr 21 08:11:13 -0700

Current Computer Chess Club Forums at Talkchess. This site by Sean Mintz.