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a(n) = floor( Gamma(n+2/3) ).
10

%I #14 Sep 20 2019 21:02:43

%S 1,0,1,4,14,68,389,2593,19884,172328,1665837,17768938,207304278,

%T 2625854188,35886673906,526337883959,8245960182038,137432669700633,

%U 2427977164711192,45322240407942257,891337394689531069

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

%D M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972, p. 255.

%H Amiram Eldar, <a href="/A014512/b014512.txt">Table of n, a(n) for n = 0..450</a>

%H M. Abramowitz and I. A. Stegun, eds., <a href="http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP">Handbook of Mathematical Functions</a>, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

%H M. Abramowitz and I. A. Stegun, eds., <a href="http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP">Handbook of Mathematical Functions</a>, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972, p. 255.

%p seq(floor(evalf(GAMMA(n+2/3),100)), n=0..24);

%t a[n_] := Floor[Gamma[n + 2/3]]; Array[a, 21, 0] (* _Amiram Eldar_, Sep 20 2019 *)

%Y Cf. A014510, A014511, A014513, A014514, A014516, A014517, A014518, A014521, A014522.

%K nonn

%O 0,4

%A _Simon Plouffe_