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.

A055306 Number of labeled rooted trees with n nodes and 5 leaves.

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%I A055306 #16 Sep 08 2022 08:45:01
%S A055306 6,1302,101136,5143824,210198240,7593173280,255415628160,
%T A055306 8252203639680,261173083691520,8202954132172800,257956727815987200,
%U A055306 8172268419809894400,261973287647034163200,8524055367713146060800
%N A055306 Number of labeled rooted trees with n nodes and 5 leaves.
%H A055306 Vincenzo Librandi, <a href="/A055306/b055306.txt">Table of n, a(n) for n = 6..200</a>
%H A055306 <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>
%F A055306 a(n) = n! * (n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(15*n^3 - 195*n^2 + 830*n - 1152)/691200. - _Vaclav Kotesovec_, Jul 25 2014
%F A055306 E.g.f: x^6*(1+22*x+58*x^2+24*x^3)/(120*(1-x)^9). - _Robert Israel_, Jul 25 2014
%t A055306 Table[n! * (n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(15*n^3 - 195*n^2 + 830*n - 1152)/691200,{n,6,20}] (* _Vaclav Kotesovec_, Jul 25 2014 *)
%o A055306 (Magma) [Factorial(n)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(15*n^3 - 195*n^2 + 830*n - 1152)/691200 : n in [6..25]]; // _Vincenzo Librandi_, Jul 25 2014
%Y A055306 Column 5 of A055302.
%K A055306 nonn
%O A055306 6,1
%A A055306 _Christian G. Bower_, May 11 2000