|
%I #13 Apr 17 2022 01:01:19
%S 1,20,400,8702,188473,4505624,106770421,2770746488,71151220765,
%T 1969755500063
%N Number of possible chess games at the end of the n-th ply starting without rooks.
%C Gives the number of possible chess games where both sides start without rooks. Rooks are still allowed to appear later in the game through promotion.
%C Does not include games which end in fewer than n plies.
%C The total number of such games should be less than the total number of standard chess games, and it appears A285874(n) <= A048987(n) for all n.
%C Initial terms computed using the Chesspresso engine.
%H Bernhard Seybold, <a href="http://www.chesspresso.org/">Chesspresso</a>.
%Y Cf. A048987 (standard), A285873 (no queens), A285875 (no knights), A285876 (no bishops), A285877 (no pawns), A285878 (pawns and king).
%K nonn,hard,more,fini
%O 0,2
%A _Sean A. Irvine_, Apr 28 2017
%E a(9) from _Sean A. Irvine_, May 04 2017
| 