%I A005223 M0369
%S A005223 0,0,1,0,2,2,7,10,29,52,142,294,772,1732,4451,10482,26715,64908,165194,
%T A005223 409720,1044629,2627712,6721492,17079076,43853111,112273270,289390434,
%U A005223 745262022,1928015211,4988699442,12949776427,33638741110,87590340673
%N A005223 Number of Dyck paths of knight moves.
%D A005223 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A005223 J. Labelle and Y.-N. Yeh, Dyck paths of knight moves, Discrete Applied 
               Math., 24 (1989), 213-221.
%F A005223 G.f.=1-1/A, where A=(1+2z+sqrt(1-4z+4z^2-4z^4)-sqrt(2)*sqrt(1-4z^2-2z^4+(2z+1)sqrt(1-4z+4z^2-4z^4)))/
               [4z^2].
%Y A005223 Sequence in context: A133374 A054226 A000024 this_sequence A118680 A094116 
               A079476
%Y A005223 Adjacent sequences: A005220 A005221 A005222 this_sequence A005224 A005225 
               A005226
%K A005223 nonn,easy,nice
%O A005223 0,5
%A A005223 N. J. A. Sloane (njas(AT)research.att.com).
%E A005223 More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 17 2003