A020112 -id:A020112 - cp's OEIS frontend

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

Simon Plouffe

nonn

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

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

Cf. A020022, A020112.

[Truncate(Gamma(n+4/9)/Gamma(4/9)): n in [0..25]]; // G. C. Greubel, Nov 13 2019

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

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

P(n,x) = gamma(x+n)/gamma(x);
vector(26, n, truncate(P(n-1, 4/9)) ) \\ G. C. Greubel, Nov 13 2019

[int(rising_factorial(4/9, n)) for n in (0..25)] # G. C. Greubel, Nov 13 2019

A020022 Nearest integer to Gamma(n + 4/9)/Gamma(4/9).

Original entry on oeis.org

1, 0, 1, 2, 5, 24, 131, 843, 6275, 52988, 500442, 5226842, 59818300, 744405515, 10008118595, 144561713037, 2232675345794, 36715105686391, 640474621418148, 11813198572823623, 229701083360459334, 4696111037591613052

Offset: 0

Simon Plouffe

nonn

Gamma(n + 4/9)/Gamma(4/9) = 1, 4/9, 52/81, 1144/729, 35464/6561, 1418560/59049, 69509440/531441, 4031547520/4782969, ... - R. J. Mathar, Sep 04 2016

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

Cf. A144829, A020067, A020112.

[Round(Gamma(n +4/9)/Gamma(4/9)): n in [0..30]]; // G. C. Greubel, Feb 03 2018

Digits := 64:f := proc(n,x) round(GAMMA(n+x)/GAMMA(x)); end;

Table[Round[Gamma[n + 4/9]/Gamma[4/9]], {n, 0, 50}] (* G. C. Greubel, Feb 03 2018 *)

for(n=0,30, print1(round(gamma(n+4/9)/gamma(4/9)), ", ")) \\ G. C. Greubel, Feb 03 2018

cp's OEIS Frontend

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

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