A020067 Integer part of Gamma(n+4/9)/Gamma(4/9).

1, 0, 0, 1, 5, 24, 130, 842, 6274, 52988, 500442, 5226841, 59818300, 744405515, 10008118594, 144561713037, 2232675345794, 36715105686390, 640474621418148, 11813198572823622, 229701083360459334, 4696111037591613052

Offset

0,5

Links

G. C. Greubel, Table of n, a(n) for n = 0..445

Maple

Digits := 64:f := proc(n, x) trunc(GAMMA(n+x)/GAMMA(x)) end: seq(f(n, 4/9), n=0..25);
# alternative:
seq(trunc(pochhammer(4/9, n)), n = 0..25); # G. C. Greubel, Nov 13 2019

Mathematica

IntegerPart[Pochhammer[4/9, Range[0, 25]]] (* G. C. Greubel, Nov 13 2019 *)

Prog

(PARI) P(n, x) = gamma(x+n)/gamma(x);
vector(26, n, truncate(P(n-1, 4/9)) ) \\ G. C. Greubel, Nov 13 2019
(Magma) [Truncate(Gamma(n+4/9)/Gamma(4/9)): n in [0..25]]; // G. C. Greubel, Nov 13 2019
(Sage) [int(rising_factorial(4/9, n)) for n in (0..25)] # G. C. Greubel, Nov 13 2019

Crossrefs

Cf. A020064, A020065, A020066, A020068, A020069.

Cf. A020022, A020112.

Sequence in context: A327118 A353735 A036919 * A066118 A002709 A193668

Adjacent sequences: A020064 A020065 A020066 * A020068 A020069 A020070

Keyword

nonn

Author

Simon Plouffe

Status

approved