%I A000590 M4908 N2104
%S A000590 1,13,104,663,3705,19019,92092,427570,1924065,8454225,36463440,
%T A000590 154969620,650872404,2707475148,11173706960,45812198536,186803188858
%N A000590 13C(2n,n-6)/(n+7).
%C A000590 Number of lattice paths from (0,0) to (n,n) with steps E=(1,0) and N=(0,
               1) which touch but do not cross the line x-y=6. - Herbert Kociemba 
               (kociemba(AT)t-online.de), May 24 2004
%C A000590 Number of standard tableaux of shape (n+6,n-6). - Emeric Deutsch (deutsch(AT)duke.poly.edu), 
               May 30 2004
%D A000590 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000590 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000590 A. Papoulis, A new method of inversion of the Laplace transform, Quart. 
               Applied Math. 14 (1956), 405ff.
%D A000590 J. Riordan, The distribution of crossings of chords joining pairs of 
               2n points on a circle, Math. Comp., 29 (1975), 215-222.
%H A000590 R. K. Guy, Catwalks, Sandsteps and Pascal Pyramids, <a href="http://www.cs.uwaterloo.ca/
               journals/JIS/index.html">J. Integer Seqs., Vol. 3 (2000), #00.1.6</
               a>
%F A000590 G.f.=x^6*C(x)^13, where C(x)=[1-sqrt(1-4x)]/(2x) is g.f. for the Catalan 
               numbers (A000108). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 
               30 2004
%Y A000590 Sequence in context: A129762 A023011 A022641 this_sequence A052065 A041316 
               A080422
%Y A000590 Adjacent sequences: A000587 A000588 A000589 this_sequence A000591 A000592 
               A000593
%K A000590 nonn
%O A000590 6,2
%A A000590 N. J. A. Sloane (njas(AT)research.att.com).