A020114 -id:A020114 - cp's OEIS frontend

A020069 Integer part of Gamma(n+1/9)/Gamma(1/9).

1, 0, 0, 0, 0, 3, 17, 104, 740, 6005, 54717, 553253, 6147263, 74450193, 976124760, 13774204958, 208143541601, 3353423725801, 57380805974819, 1039230152655057, 19860842917407765, 399423618672311729

Offset: 0

Simon Plouffe

nonn

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

Cf. A020064, A020065, A020066, A020067, A020068.

Cf. A020024, A020114.

[Truncate(Gamma(n+1/9)/Gamma(1/9)): n in [0..25]]; // G. C. Greubel, Nov 13 2019

Digits := 64:f := proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(trunc(pochhammer(1/9,n)), n = 0..25); # G. C. Greubel, Nov 13 2019

IntegerPart[Pochhammer[1/9, Range[0, 25]]] (* G. C. Greubel, Nov 13 2019 *)

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

[int(rising_factorial(1/9, n)) for n in (0..25)] # G. C. Greubel, Nov 13 2019

A020024 Nearest integer to Gamma(n + 1/9)/Gamma(1/9).

Original entry on oeis.org

1, 0, 0, 0, 1, 3, 17, 104, 740, 6006, 54717, 553254, 6147264, 74450194, 976124761, 13774204959, 208143541601, 3353423725801, 57380805974819, 1039230152655058, 19860842917407766, 399423618672311730

Offset: 0

Simon Plouffe

nonn

Gamma(n + 1/9)/Gamma(1/9) = 1, 1/9, 10/81, 190/729, 5320/6561, 196840/59049, 9054640/531441, 498005200/4782969, ... - R. J. Mathar, Sep 04 2016

G. C. Greubel, Table of n, a(n) for n = 0..450

Cf. A020069, A020114.

[Round(Gamma(n +1/9)/Gamma(1/9)): 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 + 1/9]/Gamma[1/9]], {n, 0, 50}] (* G. C. Greubel, Feb 03 2018 *)

for(n=0,30, print1(round(gamma(n+1/9)/gamma(1/9)), ", ")) \\ G. C. Greubel, Feb 03 2018

cp's OEIS Frontend

A020069 Integer part of Gamma(n+1/9)/Gamma(1/9).

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