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.

A341918 Number of strong triangulations of a fixed hexagon with n interior nodes.

This page as a plain text file.
%I A341918 #11 Aug 26 2025 08:47:33
%S A341918 1,15,155,1410,12165,102548,856205,7128420,59386655,495973610,
%T A341918 4156326090,34965061950,295326872685,2504471904060,21322339850120,
%U A341918 182220932483936,1562911922345700,13451387178653575,116149864521206475,1006036370555080950,8739349976276626707,76128234963921173340
%N A341918 Number of strong triangulations of a fixed hexagon with n interior nodes.
%H A341918 Andrew Howroyd, <a href="/A341918/b341918.txt">Table of n, a(n) for n = 1..500</a>
%F A341918 a(n) = 120*(67*n^2 + 138*n + 68)*(4*n+7)!/((3*n+12)!*(n-1)!).
%F A341918 a(n) ~ 335*2^(35/2+8*n)*3^(-23/2-3*n)/(n^(5/2)*sqrt(Pi)). - _Stefano Spezia_, Aug 25 2025
%o A341918 (PARI) a(n) = {120*(67*n^2 + 138*n + 68)*(4*n+7)!/((3*n+12)!*(n-1)!)}
%Y A341918 Column k=3 of A341856.
%K A341918 nonn,changed
%O A341918 1,2
%A A341918 _Andrew Howroyd_, Feb 23 2021