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.

A287221 Number of twice-crossing partitions on n nodes.

This page as a plain text file.
%I A287221 #12 Jun 13 2017 09:16:06
%S A287221 0,0,0,0,8,42,168,760,2418,10490,30842,131676
%N A287221 Number of twice-crossing partitions on n nodes.
%C A287221 The meandric numbers A005316 are the numbers of paths which cross themselves 0 times.
%C A287221 This sequence is the number of paths that must cross themselves exactly twice.
%H A287221 B. W. J. Irwin, <a href="https://www.authorea.com/users/5445/articles/173040-on-the-number-of-k-crossing-partitions/_show_article">On the number of k-crossing partitions</a>
%e A287221 a(4) = 8; this is from the partitions
%e A287221 (2,1,4,3), (2,4,3,1),
%e A287221 (3,2,4,1), (3,4,2,1),
%e A287221 (4,1,3,2), (4,2,1,3),
%e A287221 (4,2,3,1), (4,3,1,2).
%Y A287221 Cf. A005316, A287220.
%K A287221 nonn,more
%O A287221 0,5
%A A287221 _Benedict W. J. Irwin_, May 22 2017