Author: Andreas Stabel
Date: 01:45:47 01/02/01
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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
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