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A274683 White to move: King, Knight and Bishop vs. King: Number of positions with mate in n.

%I A274683 #18 Aug 24 2016 15:24:16
%S A274683 1840,1200,3216,15960,39752,45192,48396,40408,42720,56240,95208,
%T A274683 142084,189592,190296,139684,118004,114200,119780,127480,216552,
%U A274683 350136,484868,576832,584456,729040,949808,1278384,1531500,1434268,859400,261004,33580,1104
%N A274683 White to move: King, Knight and Bishop vs. King: Number of positions with mate in n.
%C A274683 After n = 33, all terms are 0 so the sequence ends at n = 33.
%C A274683 GBR code is 0011. Longest checkmate under perfect play is in 33 (FEN 8/8/7N/8/8/8/8/K1k1B3 w - - 0 1). For path of moves, see k4it-link. Data is found using Kryukov link, "Endgame Tablebases online". FEN is found in Kryukov link, "Longest checkmates in chess".
%C A274683 The listed examples, or more generally up to 6 man positions can be examined using the k4it link.
%D A274683 Christian Posthoff, Günter Reinemann, Computerschach-Schachcomputer, Akademie-Verlag Berlin 1987, p. 52.
%H A274683 S. T. Dekker and H. J. van den Herik, <a href="http://www.gadycosteff.com/eg/eg78.pdf">GBR class 0011: a 33-move endgame</a>, EG 78, 1984, p. 345-7.
%H A274683 Steven J. Edwards, <a href="https://groups.google.com/forum/#!topic/rec.games.chess/MOxyPAT7lBk">Endgame tablebase position count summaries</a>, 1994.
%H A274683 k4it, <a href="http://www.k4it.de/?topic=egtb&amp;lang=en">All 6-men tables online (except 5 vs. 1).</a>
%H A274683 K. Kryukov, <a href="http://kirill-kryukov.com/chess/tablebases-online/">Endgame Tablebases Online</a>
%H A274683 K. Kryukov, <a href="http://kirill-kryukov.com/chess/longest-checkmates/longest-checkmates.shtml">Longest checkmates in chess</a>
%H A274683 Wikipedia, <a href="https://en.wikipedia.org/wiki/GBR_code">GBR code</a>
%Y A274683 Cf. A225556, A274684.
%K A274683 nonn,fini,full
%O A274683 1,1
%A A274683 _David A. Corneth_, Jul 02 2016
%E A274683 Data and comments changed by _Vaclav Kotesovec_, Aug 01 2016