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.

A038002 Number of connected functions on n points with a single labeled point.

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%I A038002 #10 Jan 03 2021 06:36:18
%S A038002 0,1,3,9,27,81,242,722,2150,6395,19003,56428,167458,496724,1472835,
%T A038002 4365692,12936998,38327764,113529027,336221554,995586119,2947641940,
%U A038002 8726093434,25829729702,76450357119,226257478851,669566448376,1981320898874,5862583555761
%N A038002 Number of connected functions on n points with a single labeled point.
%H A038002 Alois P. Heinz, <a href="/A038002/b038002.txt">Table of n, a(n) for n = 0..1000</a>
%F A038002 G.f.: B(x)(B(x)+1) where B(x) is g.f. of A000107.
%F A038002 a(n) = Sum_{k=1..n} k * A339067(n,k). - _Alois P. Heinz_, Dec 04 2020
%F A038002 G.f.: A000081(x) / (1 - A000081(x))^2, where A000081(x) is the g.f. of A000081. - _Vaclav Kotesovec_, Jan 03 2021
%Y A038002 Cf. A000107, A027853, A339067.
%K A038002 nonn
%O A038002 0,3
%A A038002 _Christian G. Bower_