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.

A263864 Triangle read by rows: T(n,k) (n>=1, k>=1) is the number of posets with n elements whose Hasse diagram has k connected components.

This page as a plain text file.
%I A263864 #26 Sep 04 2022 17:02:11
%S A263864 1,1,1,3,1,1,10,4,1,1,44,13,4,1,1,238,60,14,4,1,1,1650,312,63,14,4,1,
%T A263864 1,14512,2075,328,64,14,4,1,1,163341,17316,2159,331,64,14,4,1,1,
%U A263864 2360719,186173,17801,2175,332,64,14,4,1,1,43944974,2594568,189406,17885,2178,332,64,14,4,1,1,1055019099,47041877
%N A263864 Triangle read by rows: T(n,k) (n>=1, k>=1) is the number of posets with n elements whose Hasse diagram has k connected components.
%C A263864 Multiset transformation of A000608.
%H A263864 Alois P. Heinz, <a href="/A263864/b263864.txt">Rows n = 1..16, flattened</a>
%H A263864 FindStat - Combinatorial Statistic Finder, <a href="http://www.findstat.org/StatisticsDatabase/St000181">The number of connected components of the Hasse diagram for the poset</a>.
%H A263864 Salah Uddin Mohammad, Md. Shah Noor, and Md. Rashed Talukder, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL25/Uddin/uddin6.html">An Exact Enumeration of the Unlabeled Disconnected Posets</a>, J. Int. Seq., Vol. 25 (2022), Article 22.5.4.
%H A263864 Wikipedia, <a href="https://en.wikipedia.org/wiki/Hasse_diagram">Hasse diagram</a>
%H A263864 <a href="/index/Pos#posets">Index entries for sequences related to posets</a>
%e A263864 Triangle begins:
%e A263864    1;
%e A263864    1,  1;
%e A263864    3,  1,  1;
%e A263864   10,  4,  1,  1;
%e A263864   44, 13,  4,  1,  1;
%e A263864   ...
%Y A263864 Cf. A000112 (row sums), A000608 (k=1).
%K A263864 nonn,tabl
%O A263864 1,4
%A A263864 _Christian Stump_, Oct 28 2015
%E A263864 More terms from _R. J. Mathar_, Jul 12 2020