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%I #10 Sep 12 2015 13:56:06
%S 3,8,9,11,14,17,21,24,26,30,33,37,41,44,48,51,55,59,63,67,70,75,79,83,
%T 87,91,96,101,104,109,114,118,123,127,132,136,141,145,151,154
%N Longest checkmate in king and princess versus king endgame on an n X n chessboard.
%C A princess moves like a bishop and a knight.
%H V. Kotesovec, <a href="http://problem64.beda.cz/silo/kotesovec_icga_2001.pdf">King and Two Generalised Knights against King</a>, ICGA Journal, Vol. 24, No. 2, pp. 105-107 (2001)
%H V. Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Fairy chess endings on an n x n chessboard</a>, Electronic edition of chess booklets by Vaclav Kotesovec, vol. 8, p.362 (2013)
%e Longest win on an 8x8 chessboard: Ka1 PRc1 - Kc2, 1.PRc1-f4 Kc2-b3 2.Ka1-b1 Kb3-c3! 3.Kb1-c1! Kc3-d4 4.Kc1-d2! Kd4-e4! 5.PRf4-e3! Ke4-e5! 6.Kd2-d3! Ke5-d6 7.Kd3-e4! Kd6-c7 8.Ke4-d5 Kc7-d7! 9.PRe3-f4 Kd7-e7! 10.PRf4-e5! Ke7-e8! 11.Kd5-d6 Ke8-d8 12.PRe5-f6 Kd8-c8! 13.Kd6-c6! Kc8-b8! 14.PRf6-d4! Kb8-a8 15.Kc6-b6! Ka8-b8! 16.PRd4-e6! Kb8-a8! 17.PRe6-c7#, therefore a(8) = 17.
%Y Cf. A225551, A225552, A225553, A225554, A225556, A225557, A227437.
%K nonn
%O 3,1
%A _Vaclav Kotesovec_, May 10 2013
%E Terms a(41)-a(42) from _Vaclav Kotesovec_, Jul 19 2013
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