Search: id:A008828
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%I A008828
%S A008828 1,2,2,8,12,5,42,84,56,14,262,640,580,240,42,1828,5236,5894,3344,990,
%T A008828 132,13820,45164,60312,42840,17472,4004,429,110954,406012,624240,529104,
%U A008828 271240,85904,16016,1430,933458,3772008,6540510,6413784,3935238,1569984
%N A008828 Triangle read by rows: T(n,k) = number of closed meander systems of order 
               n with k<=n components.
%C A008828 A meander of order n has 2n bridges. For many more references, see A005315 
               and A005316.
%D A008828 S. K. Lando and A. K. Zvonkin "Plane and projective meanders", Theoretical 
               Computer Science Vol. 117 (1993) p232.
%H A008828 P. Di Francesco, O. Golinelli and E. Guitter, <a href="http://arXiv.org/
               abs/hep-th/9506030">Meander, folding and arch statistics.</a>
%H A008828 I. Jensen, <a href="http://arXiv.org/cond-mat/9910313">Enumeration of 
               plane meanders</a>
%H A008828 M. La Croix, <a href="http://www.math.uwaterloo.ca/~malacroi/Latex/Meanders.pdf">
               Approaches to the Enumerative Theory of Meanders</a> [From Gerald 
               McGarvey (gerald.mcgarvey(AT)comcast.net), Oct 26 2008]
%e A008828 1; 2 2; 8 12 5; 42 84 56 14;...
%Y A008828 Columns include A005315, A006657, A006658. Diagonals include A000108 
               (Catalan numbers), A006659, A007746. Row sums are in A001246.
%Y A008828 Sequence in context: A046982 A015620 A046690 this_sequence A053414 A014236 
               A087955
%Y A008828 Adjacent sequences: A008825 A008826 A008827 this_sequence A008829 A008830 
               A008831
%K A008828 nonn,tabl,nice
%O A008828 1,2
%A A008828 D. Ivanov, S. K. Lando, A. K. Zvonkin ( LabRI, Bordeaux, France).
%E A008828 More terms from Pab Ter (pabrlos(AT)yahoo.com), May 10 2004
%E A008828 Edited by Ralf Stephan, Dec 29 2004

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