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a(n) = n! / floor(2n/3)!.
0

%I #7 Jul 25 2024 14:07:37

%S 1,1,2,3,12,20,30,210,336,504,5040,7920,11880,154440,240240,360360,

%T 5765760,8910720,13366080,253955520,390700800,586051200,12893126400,

%U 19769460480,29654190720,741354768000,1133836704000,1700755056000,47621141568000,72684900288000

%N a(n) = n! / floor(2n/3)!.

%t Table[n!/(Floor[2 n/3]!), {n, 0, 30}]

%Y Cf. A000142, A081125, A355988.

%K nonn

%O 0,3

%A _Clark Kimberling_, Jul 22 2024