%I A102784
%S A102784 1,0,0,0,0,0,0,0,10,41,116,335,1111,2619,6067
%N A102784 In chess, the number of "at home" dual-free proof games in n plies.
%C A102784 Among all the proof game problems counted in A090051, this is the number 
               of problems where all the surviving pieces are apparently on their 
               start squares.
%H A102784 A. Buchanan, <a href="http://www.geocities.com/anselan/CHE.html">"At 
               Home" proof games</a>
%H A102784 F. Labelle, <a href="http://www.cs.berkeley.edu/~flab/chess/statistics-positions.html#at-home">
               Statistics on "at home" diagrams</a>
%H A102784 F. Labelle, <a href="http://www.pairlist.net/pipermail/retros/2005-February/
               001041.html">Mailing list posting about the computation up to ply 
               14</a>
%Y A102784 Cf. A090051.
%Y A102784 Sequence in context: A003355 A022278 A006323 this_sequence A061003 A048879 
               A089211
%Y A102784 Adjacent sequences: A102781 A102782 A102783 this_sequence A102785 A102786 
               A102787
%K A102784 hard,nonn
%O A102784 0,9
%A A102784 Francois Labelle (flab(AT)cs.berkeley.edu), Feb 11 2005