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a(n) = floor( Gamma(n+3/4) ).
10

%I #13 Sep 20 2019 21:03:03

%S 1,0,1,4,16,78,453,3057,23698,207358,2021746,21733773,255371835,

%T 3255990905,44769874946,660355655453,10400601573396,174210076354396,

%U 3092228855290534,57979291036697518,1145090997974775999

%N a(n) = floor( Gamma(n+3/4) ).

%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="/A014514/b014514.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+3/4),100)), n=0..24);

%t a[n_] := Floor[Gamma[n + 3/4]]; Array[a, 21, 0] (* _Amiram Eldar_, Sep 20 2019 *)

%Y Cf. A014510, A014511, A014512, A014513, A014516, A014517, A014518, A014521, A014522.

%K nonn

%O 0,4

%A _Simon Plouffe_