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.

A055312 Number of labeled rooted trees with n nodes and 11 leaves.

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%I A055312 #14 Sep 08 2022 08:45:01
%S A055312 12,319332,571389000,340433566200,110475588787200,24370164778901760,
%T A055312 4123399022616706560,576081026260420262400,69763488659968731264000,
%U A055312 7574128968889436413824000,755406265592909947874457600
%N A055312 Number of labeled rooted trees with n nodes and 11 leaves.
%H A055312 Vincenzo Librandi, <a href="/A055312/b055312.txt">Table of n, a(n) for n = 12..200</a>
%H A055312 <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>
%F A055312 a(n) = n! * (n-11)*(n-10)*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(99*n^9 - 8316*n^8 + 307494*n^7 - 6562248*n^6 + 88967571*n^5 - 793483724*n^4 + 4647393828*n^3 - 17199472048*n^2 + 36398452992*n - 33443020800)/14684322099363840000. - _Vaclav Kotesovec_, Jul 25 2014
%t A055312 Table[n! * (n-11)*(n-10)*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(99*n^9 - 8316*n^8 + 307494*n^7 - 6562248*n^6 + 88967571*n^5 - 793483724*n^4 + 4647393828*n^3 - 17199472048*n^2 + 36398452992*n - 33443020800)/14684322099363840000,{n,12,25}] (* _Vaclav Kotesovec_, Jul 25 2014 *)
%o A055312 (Magma) [Factorial(n)*(n-11)*(n-10)*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(99*n^9 - 8316*n^8 + 307494*n^7 - 6562248*n^6 + 88967571*n^5 - 793483724*n^4 + 4647393828*n^3 - 17199472048*n^2 + 36398452992*n - 33443020800)/14684322099363840000: n in [12..25]]; // _Vincenzo Librandi_, Jul 25 2014
%Y A055312 Column 11 of A055302.
%K A055312 nonn
%O A055312 12,1
%A A055312 _Christian G. Bower_, May 11 2000