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

0,3

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.

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 *)

Prog

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

Crossrefs

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

Sequence in context: A266868 A203177 A096122 * A020035 A112005 A212581

Adjacent sequences: A014519 A014520 A014521 * A014523 A014524 A014525

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

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

Status

approved