cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A046726 Triangle of numbers of semi-meanders of order n with k components.

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%I A046726 #29 Jul 15 2019 04:58:52
%S A046726 1,1,1,1,2,2,1,3,6,4,1,4,11,16,10,1,5,17,37,48,24,1,6,24,66,126,140,
%T A046726 66,1,7,32,104,254,430,428,174,1,8,41,152,438,956,1454,1308,504,1,9,
%U A046726 51,211,690,1796,3584,4976,4072,1406,1,10,62,282,1023,3028,7238,13256,16880,12796,4210
%N A046726 Triangle of numbers of semi-meanders of order n with k components.
%C A046726 Rows are in order of decreasing number of components. Diagonals give number of semi-meanders with k components. - _Andrew Howroyd_, Nov 27 2015
%H A046726 Andrew Howroyd, <a href="/A046726/b046726.txt">Table of n, a(n) for n = 1..820</a>
%H A046726 P. Di Francesco, O. Golinelli, and E. Guitter, <a href="https://arxiv.org/abs/hep-th/9506030">Meander, folding and arch statistics</a>, arXiv:hep-th/9506030, 1995.
%H A046726 P. Di Francesco, O. Golinelli, and E. Guitter, <a href="https://doi.org/10.1016/S0895-7177(97)00202-1">Meander, folding and arch statistics</a>, Mathematical and Computer Modelling 26 (1997), 97-147.
%e A046726 Triangle starts:
%e A046726   1;
%e A046726   1, 1;
%e A046726   1, 2,  2;
%e A046726   1, 3,  6,   4;
%e A046726   1, 4, 11,  16,  10;
%e A046726   1, 5, 17,  37,  48,  24;
%e A046726   1, 6, 24,  66, 126, 140,   66;
%e A046726   1, 7, 32, 104, 254, 430,  428,  174;
%e A046726   1, 8, 41, 152, 438, 956, 1454, 1308, 504;
%e A046726   ...
%Y A046726 Diagonals include A000682, A046721, A046722, A046723, A046724, A046725. Columns include A000027, A046691. Row sums are in A000108 (Catalan numbers).
%K A046726 nonn,tabl
%O A046726 1,5
%A A046726 _N. J. A. Sloane_
%E A046726 More terms from Larry Reeves (larryr(AT)acm.org), Apr 05 2000
%E A046726 T(12,k)-T(40,k) from _Andrew Howroyd_, Dec 07 2015