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.
%I A211359 #11 May 03 2018 17:02:52 %S A211359 1,0,1,1,0,1,1,1,0,1,2,1,2,0,1,2,3,2,2,0,1,5,4,8,3,3,0,1,6,11,12,12,4, %T A211359 3,0,1,14,21,39,24,22,5,4,0,1,22,55,84,85,48,30,7,4,0,1,51,124,245, %U A211359 228,190,82,46,8,5,0,1,95,327,620,730,570,350,136,60 %N A211359 Triangle read by rows: T(n,k) is the number of noncrossing partitions up to rotation and reflection of an n-set that contain k singleton blocks. %H A211359 Andrew Howroyd, <a href="/A211359/b211359.txt">Table of n, a(n) for n = 0..1274</a> (terms 0..90 from Tilman Piesk) %e A211359 From _Andrew Howroyd_, May 02 2018: (Start) %e A211359 Triangle begins: %e A211359 1; %e A211359 0, 1; %e A211359 1, 0, 1; %e A211359 1, 1, 0, 1; %e A211359 2, 1, 2, 0, 1; %e A211359 2, 3, 2, 2, 0, 1; %e A211359 5, 4, 8, 3, 3, 0, 1; %e A211359 6, 11, 12, 12, 4, 3, 0, 1; %e A211359 14, 21, 39, 24, 22, 5, 4, 0, 1; %e A211359 22, 55, 84, 85, 48, 30, 7, 4, 0, 1; %e A211359 51, 124, 245, 228, 190, 82, 46, 8, 5, 0, 1; %e A211359 ... %e A211359 (End) %o A211359 (PARI) \\ See A303875 for NCPartitionsModDihedral %o A211359 { my(rows=Vec(NCPartitionsModDihedral(vector(10, k, if(k==1,y,1))))); %o A211359 for(n=1, #rows, for(k=0, n-1, print1(polcoeff(rows[n], k), ", ")); print; ) } \\ _Andrew Howroyd_, May 02 2018 %Y A211359 Column k=0 is A303931. %Y A211359 Row sums are A111275. %Y A211359 Cf. A209612, A211357, A303875. %K A211359 nonn,tabl %O A211359 0,11 %A A211359 _Tilman Piesk_, Apr 12 2012