%I #4 Apr 10 2017 12:37:47
%S 3,2,1,1,1,1,2,2,2,3,5,6,10,15,24,41,69,120,215,390,720,1356,2594,
%T 5040,9941,19885,40320,82835,172329,362880,773119,1665838,3628800,
%U 7988888,17768939,39916800,90540730,207304279,479001600,1116669004,2625854189,6227020800
%N Ceiling(Gamma(n/3)).
%C There are two integer-valued interpolations between successive factorials.
%H Clark Kimberling, <a href="/A284997/b284997.txt">Table of n, a(n) for n = 1..1000</a>
%F a(n) = ceiling(Gamma(n/3)).
%t Table[Ceiling[Gamma[n/3]], {n, 1, 35}]
%Y Cf. A000142, A284996.
%K nonn,easy
%O 1,1
%A _Clark Kimberling_, Apr 08 2017