A020111 -id:A020111 - cp's OEIS frontend

A020066 Integer part of Gamma(n+5/9)/Gamma(5/9).

1, 0, 0, 2, 7, 35, 198, 1302, 9843, 84216, 804738, 8494460, 98158213, 1232430908, 16706285646, 243169268856, 3782633071103, 62623591954942, 1099391947653437, 20399828362013787, 398929976857158503

Offset: 0

Simon Plouffe

nonn

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

Cf. A020064, A020065, A020067, A020068, A020069.

Cf. A020021, A020111.

[Truncate(Gamma(n+5/9)/Gamma(5/9)): n in [0..20]]; // G. C. Greubel, Nov 13 2019

Digits := 64:f := proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(trunc(pochhammer(5/9,n)), n = 0..20); # G. C. Greubel, Nov 13 2019

IntegerPart[Pochhammer[5/9, Range[0, 20]]] (* G. C. Greubel, Nov 13 2019 *)

P(n,x) = gamma(x+n)/gamma(x);
vector(21, n, truncate(P(n-1, 5/9)) ) \\ G. C. Greubel, Nov 13 2019

[int(rising_factorial(5/9, n)) for n in (0..20)] # G. C. Greubel, Nov 13 2019

A020021 Nearest integer to Gamma(n + 5/9)/Gamma(5/9).

Original entry on oeis.org

1, 1, 1, 2, 8, 36, 199, 1303, 9844, 84217, 804738, 8494461, 98158214, 1232430908, 16706285647, 243169268857, 3782633071104, 62623591954943, 1099391947653438, 20399828362013787, 398929976857158503

Offset: 0

Simon Plouffe

nonn

a(n) equals A020066(n) or A020111(n). - R. J. Mathar, May 18 2007

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

Cf. A020066, A020111.

[Round(Gamma(n +5/9)/Gamma(5/9)): 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 + 5/9]/Gamma[5/9]], {n, 0, 50}] (* G. C. Greubel, Feb 03 2018 *)

for(n=0,30, print1(round(gamma(n+5/9)/gamma(5/9)), ", ")) \\ G. C. Greubel, Feb 03 2018

cp's OEIS Frontend

A020066 Integer part of Gamma(n+5/9)/Gamma(5/9).

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Maple

Mathematica

PARI

Sage