A014522 Nearest integer to Gamma(n+3/4).

1, 1, 2, 4, 17, 79, 453, 3058, 23698, 207359, 2021746, 21733773, 255371836, 3255990905, 44769874946, 660355655454, 10400601573397, 174210076354396, 3092228855290534, 57979291036697519, 1145090997974775999, 23760638207976601980, 516793881023491093070

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, p. 255.

Crossrefs

Cf. A014510, A014511, A014512, A014513, A014514, A014516, A014517, A014518, A014521.

Programs

Maple

[ seq(round(evalf(GAMMA(n+3/4),100)), n=0..24) ];

Mathematica

a[n_] := Round[Gamma[n + 3/4]]; Array[a, 23, 0] (* Amiram Eldar, Sep 20 2019 *)

PARI

a(n) = round(gamma(n+3/4)) \\ Felix Fröhlich, Nov 05 2018

Extensions

a(15), a(16), and a(19) corrected by Sean A. Irvine, Nov 05 2018