A014514 a(n) = floor( Gamma(n+3/4) ).

1, 0, 1, 4, 16, 78, 453, 3057, 23698, 207358, 2021746, 21733773, 255371835, 3255990905, 44769874946, 660355655453, 10400601573396, 174210076354396, 3092228855290534, 57979291036697518, 1145090997974775999, 23760638207976601980, 516793881023491093069

Offset

0,4

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.

Maple

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

Mathematica

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

Prog

(Magma) [Floor(Gamma(n + 3/4)): n in [0..25]]; // Vincenzo Librandi, Aug 01 2025

Crossrefs

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

Sequence in context: A207653 A204208 A138294 * A000780 A002713 A221763

Adjacent sequences: A014511 A014512 A014513 * A014515 A014516 A014517

Keyword

nonn

Author

Simon Plouffe

Status

approved