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.

A273652 Number of forests of labeled rooted trees of height at most 1, with n labels, two of which are used for root nodes and any root may contain >= 1 labels.

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%I A273652 #5 May 27 2016 11:33:57
%S A273652 2,9,30,90,255,693,1820,4644,11565,28215,67650,159822,372827,860265,
%T A273652 1966200,4456584,10027161,22413483,49807550,110100690,242221287,
%U A273652 530579709,1157628180,2516582700,5452595525,11777605983,25367150970,54492397974,116769423795
%N A273652 Number of forests of labeled rooted trees of height at most 1, with n labels, two of which are used for root nodes and any root may contain >= 1 labels.
%H A273652 Alois P. Heinz, <a href="/A273652/b273652.txt">Table of n, a(n) for n = 2..1000</a>
%F A273652 E.g.f.: x^2/2! * Sum_{j=0..2} Stirling2(2,j)*exp(x)^j.
%F A273652 a(n) = C(n,2) * Sum_{j=0..2} Stirling2(2,j) * j^(n-2).
%p A273652 a:= n-> binomial(n,2)*add(Stirling2(2,j)*j^(n-2), j=0..2):
%p A273652 seq(a(n), n=2..40);
%Y A273652 Column k=2 of A143396.
%K A273652 nonn
%O A273652 2,1
%A A273652 _Alois P. Heinz_, May 27 2016