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Ceiling(Gamma(n/3)).
2

%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