A020061 -id:A020061 - cp's OEIS frontend

A020060 a(n) = floor( Gamma(n+9/10)/Gamma(9/10) ).

1, 0, 1, 4, 19, 94, 559, 3857, 30477, 271252, 2685395, 29270806, 348322596, 4493361500, 62457724853, 930620100318, 14796859595058, 250066927156481, 4476197996101023, 84600142126309335, 1683542828313555774

Offset: 0

Simon Plouffe

nonn

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

Cf. A020015, A020105.

Cf. A020061, A020062, A020063.

[Floor(Gamma(n+9/10)/Gamma(9/10)): n in [0..20]]; // G. C. Greubel, Nov 13 2019

Digits := 64:f := proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(floor(pochhammer(9/10,n)), n = 0..20); # G. C. Greubel, Nov 13 2019

Floor[Pochhammer[9/10, Range[0, 20]]] (* G. C. Greubel, Nov 13 2019 *)

vector(21, n, my(x=9/10); gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Nov 13 2019

[floor(rising_factorial(9/10, n)) for n in (0..20)] # G. C. Greubel, Nov 13 2019

A020016 Nearest integer to Gamma(n + 7/10)/Gamma(7/10).

Original entry on oeis.org

1, 1, 1, 3, 12, 56, 318, 2134, 16430, 142945, 1386570, 14836295, 173584650, 2204525052, 30201993206, 443969300123, 6970318011936, 116404310799339, 2060356301148292, 38528662831473069, 759014657780019468

Offset: 0

Simon Plouffe

nonn

Gamma(n + 7/10)/Gamma(7/10) = 1, 7/10, 119/100, 3213/1000, 118881/10000, 5587407/100000, 318482199/1000000, ... - R. J. Mathar, Sep 04 2016

G. C. Greubel, Table of n, a(n) for n = 0..449

Cf. A020061, A020106.

[Round(Gamma(n +7/10)/Gamma(7/10)): n in [0..30]]; // G. C. Greubel, Jan 19 2018

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

Table[Round[Gamma[n + 7/10]/Gamma[7/10]], {n, 0,50}] (* G. C. Greubel, Jan 19 2018 *)

for(n=0,30, print1(round(gamma(n+7/10)/gamma(7/10)), ", ")) \\ G. C. Greubel, Jan 19 2018

cp's OEIS Frontend

A020060 a(n) = floor( Gamma(n+9/10)/Gamma(9/10) ).

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