A341917 - OEIS

%I #8 Mar 13 2021 17:03:01

%S 1,10,80,610,4625,35322,272800,2132310,16861455,134781350,1088074064,

%T 8863227100,72789560025,602232150810,5016320750400,42041168169712,

%U 354326295908580,3001705818071400,25549873091193600,218426240780417250,1874878554813727815,16153461053030605590

%N Number of strong triangulations of a fixed pentagon with n interior nodes.

%H Andrew Howroyd, <a href="/A341917/b341917.txt">Table of n, a(n) for n = 1..500</a>

%F a(n) = 60*(13*n+9)*(4*n+5)!/((3*n+9)!*(n-1)!).

%o (PARI) a(n)={60*(13*n+9)*(4*n+5)!/((3*n+9)!*(n-1)!)}

%Y Column k=2 of A341856.

%Y Cf. A341853.

%K nonn

%O 1,2

%A _Andrew Howroyd_, Feb 23 2021