A014518 Nearest integer to Gamma(n+1/4).

4, 1, 1, 3, 8, 35, 185, 1155, 8377, 69106, 639233, 6552134, 73711509, 902965986, 11964299312, 170491265198, 2599991794272, 42249866656927, 728810199831991, 13300786146933842, 256040133328476466

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

References

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

Links

• Amiram Eldar, Table of n, a(n) for n = 0..450
• M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
• M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972, p. 255.

Crossrefs

Cf. A014510, A014511, A014512, A014513, A014514, A014516, A014517, A014521, A014522.

Programs

Maple

[ seq(round(evalf(GAMMA(n+1/4),100)), n=0..24) ];

Mathematica

a[n_] := Round[Gamma[n + 1/4]]; Array[a, 21, 0] (* Amiram Eldar, Sep 20 2019 *)

PARI

a(n) = round(gamma(n + 1/4)); \\ Michel Marcus, Nov 05 2018

Extensions

a(20) corrected by Sean A. Irvine, Nov 04 2018