A014521 - OEIS

%I #22 Jul 08 2025 05:40:33

%S 2,1,1,3,12,52,288,1871,14034,119292,1133278,11899423,136843365,

%T 1710542068,23092317922,334838609874,5189998453040,85634974475162,

%U 1498612053315336,27724322986333718,540624298233507504

%N Nearest integer to Gamma(n+1/2).

%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="/A014521/b014521.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(round(evalf(GAMMA(n+1/2),100)), n=0..24) ];

%t Table[Round[Gamma[n + 1/2]], {n, 0, 26}]

%o (PARI) a(n) = round(gamma(n + 1/2)); \\ _Michel Marcus_, Nov 05 2018

%Y Cf. A014510, A014511, A014512, A014513, A014514, A014516, A014517, A014518, A014522.

%K nonn

%O 0,1

%A _N. J. A. Sloane_

%E a(15) corrected by _Sean A. Irvine_, Nov 04 2018