%I #4 Jul 15 2024 23:34:02
%S 1,6,15,112,309,2449,7004,56977,166128,1371673,4046880,33736358,
%T 100328902,842011587,2518460195,21241145637,63807550099,540215987658,
%U 1628274148825,13827134974963,41789656029594,355743023641567,1077551461258952,9191485155260759
%N a(n) = floor((3n)!/(n!^3 a(n-1)), where a(0)=1.
%t a[0] = 1; a[n_] := a[n] = Floor[(3 n)!/( (n!)^3*a[n - 1])];
%t Table[a[n], {n, 0, 30}]
%Y Cf. A372989.
%K nonn
%O 0,2
%A _Clark Kimberling_, Jul 15 2024