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%I #12 Apr 27 2020 12:16:17
%S 1,2,18,240,3850,68796,1319472,26604864,556794810,11993338500,
%T 264333180540,5935956324480,135389270500848,3128818447143200,
%U 73123195376232000,1725644509205633280,41071074678970154010,984853105623747983700,23773506148264947574500
%N a(n) = (1/(2n+1))*Multinomial(3n; n,n,n).
%F From _Vaclav Kotesovec_, Feb 19 2015: (Start)
%F a(n) = (3*n)! / ((2*n+1) * (n!)^3).
%F D-finite with recurrence: n^2*(2*n+1)*a(n) = 3*(2*n-1)*(3*n-2)*(3*n-1)*a(n-1).
%F a(n) ~ 3^(3*n+1/2) / (4*Pi*n^2).
%F (End)
%F a(n) = A006480(n)/(2n+1). - _R. J. Mathar_, Apr 27 2020
%t Table[Multinomial[n,n,n]/(2*n+1),{n,0,20}] (* _Vaclav Kotesovec_, Feb 19 2015 *)
%K nonn
%O 0,2
%A _Clark Kimberling_
%E More terms from _Vaclav Kotesovec_, Feb 19 2015
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