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.

A273655 Number of forests of labeled rooted trees of height at most 1, with n labels, five of which are used for root nodes and any root may contain >= 1 labels.

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%I A273655 #4 May 27 2016 12:13:20
%S A273655 52,906,9891,87416,686826,5020092,35006202,236460312,1562226237,
%T A273655 10158790642,65294141913,415967090448,2631510433188,16551428673528,
%U A273655 103578621308388,645186720537744,4000912828433199,24700465510596414,151810205132056779,928768921758036744
%N A273655 Number of forests of labeled rooted trees of height at most 1, with n labels, five of which are used for root nodes and any root may contain >= 1 labels.
%H A273655 Alois P. Heinz, <a href="/A273655/b273655.txt">Table of n, a(n) for n = 5..1000</a>
%F A273655 E.g.f.: x^5/5! * Sum_{j=0..5} Stirling2(5,j)*exp(x)^j.
%F A273655 a(n) = C(n,5) * Sum_{j=0..5} Stirling2(5,j) * j^(n-5).
%p A273655 a:= n-> binomial(n,5)*add(Stirling2(5,j)*j^(n-5), j=0..5):
%p A273655 seq(a(n), n=5..40);
%Y A273655 Column k=5 of A143396.
%K A273655 nonn
%O A273655 5,1
%A A273655 _Alois P. Heinz_, May 27 2016