A020128 -id:A020128 - cp's OEIS frontend

A020083 a(n) = floor( Gamma(n + 3/5)/Gamma(3/5) ).

1, 0, 0, 2, 8, 41, 231, 1527, 11610, 99850, 958561, 10160755, 117864768, 1485096081, 20197306708, 294880677941, 4600138575887, 76362300359740, 1343976486331425, 24997962645764522, 489960067856984638

Offset: 0

Simon Plouffe

nonn

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

Cf. A020038, A020128.

Cf. A020082, A020084, A020085.

[Truncate(Gamma(n + 3/5)/Gamma(3/5)): n in [0..30]]; // G. C. Greubel, Nov 19 2018

Digits:= 64: x:=3/5: f:= proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(floor(pochhammer(3/5,n)), n = 0..25); # G. C. Greubel, Nov 17 2019

Floor[Pochhammer[3/5, Range[0, 25]]] (* G. C. Greubel, Nov 19 2018 *)

vector(26, n, my(x=3/5); gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Nov 19 2018

[int(gamma(n + 3/5)/gamma(3/5))  for n in range(30)] # G. C. Greubel, Nov 19 2018

A020038 Nearest integer to Gamma(n + 3/5)/Gamma(3/5).

Original entry on oeis.org

1, 1, 1, 2, 9, 41, 231, 1528, 11610, 99850, 958562, 10160756, 117864768, 1485096081, 20197306708, 294880677942, 4600138575888, 76362300359740, 1343976486331426, 24997962645764522, 489960067856984638

Offset: 0

Simon Plouffe

nonn

Gamma(n + 3/5)/Gamma(3/5) = 1, 3/5, 24/25, 312/125, 5616/625, 129168/3125, 3616704/15625, 119351232/78125, ... - R. J. Mathar, Sep 04 2016

Cf. A047056, A020083, A020128.

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

Table[Round[QGamma[n+3/5,1]/QGamma[3/5,1]],{n,0,20}] (* Harvey P. Dale, May 19 2019 *)

cp's OEIS Frontend

A020083 a(n) = floor( Gamma(n + 3/5)/Gamma(3/5) ).

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