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Floor(Gamma(2n/3)).
2

%I #4 Apr 10 2017 12:37:57

%S 1,0,1,1,2,6,14,40,120,389,1355,5040,19884,82834,362880,1665837,

%T 7988887,39916800,207304278,1116669003,6227020800,35886673906,

%U 213407853922,1307674368000,8245960182038,53446811415729,355687428096000,2427977164711192,16984208960998389

%N Floor(Gamma(2n/3)).

%C There are two integer-valued interpolations between successive factorials.

%H Clark Kimberling, <a href="/A284998/b284998.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = floor(Gamma(2n/3)).

%t Table[Floor[Gamma[2n/3]], {n, 1, 35}]

%Y Cf. A000142, A284999.

%K nonn,easy

%O 1,5

%A _Clark Kimberling_, Apr 08 2017