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Number of chess games with n plies (another version).
(Formerly M5100)
0

%I M5100 #23 Oct 27 2023 10:06:05

%S 1,20,400,8902,197742,4897256,120921506,3284294545,88867026005

%N Number of chess games with n plies (another version).

%C Up to a(6) this is the number of chess games with all legality constraints removed, even allowing the king to be captured. (This differs from the number of positions in suicide chess, as suicide chess contains compulsory captures.) - _Richard Bean_, Jun 18 2003

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Chess.html">Chess</a>

%H <a href="/index/Ch#chess">Index entries for sequences related to number of chess games</a>

%Y Cf. A006494, A048987.

%K fini,nonn,hard

%O 0,2

%A Ken Thompson (ken(AT)google.com)

%E I am not sure of the precise rules that were used to compute these numbers. A006494 and A048987 are the preferred versions of this sequence. - _N. J. A. Sloane_.