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.

A055310 Number of labeled rooted trees with n nodes and 9 leaves.

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%I A055310 #14 Sep 08 2022 08:45:01
%S A055310 10,56210,37621320,10493357160,1803842280240,228599313742800,
%T A055310 23567044281580800,2099312576058297600,168119161594140556800,
%U A055310 12440787291129176179200,867641306901247726848000
%N A055310 Number of labeled rooted trees with n nodes and 9 leaves.
%H A055310 Vincenzo Librandi, <a href="/A055310/b055310.txt">Table of n, a(n) for n = 10..200</a>
%H A055310 <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>
%F A055310 a(n) = n! * (n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(135*n^7 - 7245*n^6 + 164745*n^5 - 2054535*n^4 + 15148840*n^3 - 65892420*n^2 + 156108464*n - 154828800)/505658474496000. - _Vaclav Kotesovec_, Jul 25 2014
%t A055310 Table[n! * (n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(135*n^7 - 7245*n^6 + 164745*n^5 - 2054535*n^4 + 15148840*n^3 - 65892420*n^2 + 156108464*n - 154828800)/505658474496000,{n,10,20}] (* _Vaclav Kotesovec_, Jul 25 2014 *)
%o A055310 (Magma) [Factorial(n)*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(135*n^7 - 7245*n^6 + 164745*n^5 - 2054535*n^4 + 15148840*n^3 - 65892420*n^2 + 156108464*n - 154828800)/505658474496000: n in [10..25]]; // _Vincenzo Librandi_, Jul 25 2014
%Y A055310 Column 9 of A055302.
%K A055310 nonn
%O A055310 10,1
%A A055310 _Christian G. Bower_, May 11 2000