These are the figures I just retrieved from some work which I must have done years ago and forgotten about.
They are based on my decanting of Nalimov's figures into spreadsheets, and then into a summary spreadsheet. Therefore they should be basically Nalimov's figures - which follow a nomenclature for endgames, and almost full use of symmetry.
There are three caveats:
1) Nalimov counts '2' for positions which have both Kings on the long diagonal but are not diagonally symmetric.
- - - - - e.g., wK on a1, bK on c3, wQ on a8 or h1 ... that's two positions for Nalimov rather than one.
2) Nalimov has not computed any EGTs for 5-1(p) endgames involving a lone King
3) Nalimov has not included castling rights in his EGTs ... a simple add-on to existing EGTs if anyone would care to volunteer!
2-man: 462 wtm; 462 btm and 924 in all
3-man: 173,574 wtm; 198,588 btm and 372,162 in all
4-man: 60,633,085 wtm; 74,913,901 btm and 135,546,986 in all
5-man: 11,497,269,141 wtm; 14,536,367,740 btm and 26,033,636,881 in all
6-man:
- - - - - (3-3, no Pawns): 133,485,689,894 wtm, 158,608,269,192 btm and 292,093,959,086 in all
- - - - - (4-2, no Pawns): 141,924,532,148 wtm, 215,534,429,312 btm and 357,458,961,460 in all
- - - - - (3-3p, 1+ Ps): 535,915,028,728 wtm, 656,519,458,061 btm and 1,192,434,486,789 in all
- - - - - (4-2p, 1+Ps): 657,633,052,885 wtm, 883,909,368,035 btm and 1,541,542,420,920 in all
- - - - - 5-1 and 5-1p: no figures available
So that's, for sub-7-man (s7m) positions counted:
- - - - - 1,480,516,379,917 wtm, 1,929,183,005,291 btm and 3,409,699,385,208 in all
PS: There are 906,952 type A zugs in s7m-chess which is 0.0000265992% of the s7m chess positions!
- - - - - cf
http://centaur.reading.ac.uk/view/creat ... fault.html and in particular
http://centaur.reading.ac.uk/4518/
Additions and corrections welcome.
g