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.

A210661 The total number of ways to linearly order the connected components of each functional digraph over all functions f:{1,2,...,n}->{1,2,...,n}.

This page as a plain text file.
%I A210661 #22 Sep 24 2013 15:35:38
%S A210661 1,1,5,41,464,6679,116534,2387223,56126216,1488936405,43981641232,
%T A210661 1431351648253,50877935705904,1960987188622955,81454893191133968,
%U A210661 3627186997857749259,172364960657294194944,8705953783492490785801,465732966748611591349632,26305402198153236286685809,1564288763576093814775234304
%N A210661 The total number of ways to linearly order the connected components of each functional digraph over all functions f:{1,2,...,n}->{1,2,...,n}.
%C A210661 Sum_{k=1,2,...,n}:A060281(n,k)*k!
%F A210661 E.g.f.: 1/(1-log(1/(1-T(x)))) where T(x) is the e.g.f. for A000169.
%F A210661 a(n) ~ n! * exp((2*n*exp(1)-exp(1)-n)*exp(-1))/(exp(1)-1)^(n+1). - _Vaclav Kotesovec_, Sep 24 2013
%t A210661 nn=20;t=Sum[n^(n-1)x^n/n!,{n,1,nn}];a=Log[1/(1-t)];Range[0,nn]!CoefficientList[Series[1/(1-a),{x,0,nn}],x]
%K A210661 nonn
%O A210661 0,3
%A A210661 _Geoffrey Critzer_, Mar 30 2012