Author: Ricardo Gibert
Date: 01:23:24 01/03/01
Go up one level in this thread
On January 03, 2001 at 03:38:40, Andreas Stabel wrote: >On January 02, 2001 at 17:05:13, Heiner Marxen wrote: > >>On January 02, 2001 at 04:45:47, Andreas Stabel wrote: >> >>>On December 29, 2000 at 10:26:06, Steven J. Edwards wrote: >>> >>>>Briefly, I have calculated the number of distinct positions after N ply for N >>>>equals zero upto nine. Can someone extend this series, or has anyone already >>>>done so? >>>> >>>>1,20,400,5362,72078,822518,9417683 >>>> >>>>See: >>>> >>>>http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=057745 >>>> >>>>-- Steven >>>> >>>>chessnotation@earthlink.net >>> >>>I have earlier posted the following table which, unfortunately, does not >>>match your numbers after ply 3. >>> >>>Table from opening position: >>> | | Unique nodes | Unique nodes II Unique nodes | Factor | >>>Ply| Total # nodes | ep = pawn two | ep = oppositeII ep = Only if | prev. | >>> | | | pawn can hit II ep is legal | row | >>>---+---------------+---------------+--------------II---------------+--------| >>> 0 | 1 | 1 | 1 II 1 | | >>> 1 | 21 | 21 | 21 II 21 | 21.00 | >>> 2 | 421 | 421 | 421 II 421 | 20.05 | >>> 3 | 9323 | 8023 | 5783 II 5783 | 13.74 | >>> 4 | 206604 | 109262 | 77796 II 77796 | 13.45 | >>> 5 | 5072213 | 1351950 | 898812 II 898812 | 11.55 | >>> 6 | 124132537 | 15334851 | 10281864 II 10281862 | 11.44 | >>> 7 | 3320034397 | 160373323 | 106193912 II 106193643 | 10.33 | >>> 8 | 88319013353 | | II | | >>> 9 | 2527849247520 | | II | | >>> >>> >>>Best regards >>>Andreas Stabel >> >>Andreas, obviously you are summung up the numbers of Steven, i.e. >> 21 = 1+20 >> 421 = 1+20+400 >>5783 = 1+20+400+5362 >>I did not check further. (column opposite pawn can hit) >> >>Heiner > >Unfortunately you are wrong :) >As you see from my comment above, I said that after ply 3 our numbers don't >match. F.ex. your ply 4 gives 1+20+400+5362+72078 = 77861, and my number >is 77796. It would be interresting to find out what is the correct numbers. > >Regards >Andreas Stabel The divergence at 4 ply suggests a difference on how each program deals with checking moves.
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