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.

A346660 Number of cyclic patterns of length n that avoid the vincular pattern 23-1-4.

This page as a plain text file.
%I A346660 #20 Nov 09 2021 04:33:54
%S A346660 1,1,1,2,5,14,42,133,442,1537,5583,21165,83707,345324,1485687,6663354,
%T A346660 31134078,151408319,765462514,4017644518,21860398111,123120413119,
%U A346660 716701884408,4305828784896,26661920519485,169937265101628,1113616036893636,7494786443901137
%N A346660 Number of cyclic patterns of length n that avoid the vincular pattern 23-1-4.
%C A346660 The vincular pattern 23-1-4 requires the 2 and the 3 to be adjacent.
%C A346660 By the trivial Wilf equivalence obtained by reversing the permutations, a(n) is also the number of cyclic patterns of length n that avoid the vincular pattern 32-4-1.
%H A346660 Vaclav Kotesovec, <a href="/A346660/b346660.txt">Table of n, a(n) for n = 0..500</a>
%H A346660 Rupert Li, <a href="https://arxiv.org/abs/2107.12353">Vincular Pattern Avoidance on Cyclic Permutations</a>, arXiv:2107.12353 [math.CO], 2021.
%F A346660 For n >= 2, a(n) = Sum_{i=0..n-2} binomial(n-2,i) * A092920(i).
%Y A346660 Cf. A025242, A047970, A092920, A346661.
%K A346660 nonn
%O A346660 0,4
%A A346660 _Rupert Li_, Aug 03 2021