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A020057 a(n) = floor(Gamma(n+3/11)/Gamma(3/11)). 2

%I #13 Sep 08 2022 08:44:44

%S 1,0,0,0,2,11,58,364,2653,21951,203550,2091015,23571444,289285911,

%T 3839613003,54801749236,836972170164,13619819859947,235251433944553,

%U 4298685292986837,82847389283019056,1679542528192113596

%N a(n) = floor(Gamma(n+3/11)/Gamma(3/11)).

%H G. C. Greubel, <a href="/A020057/b020057.txt">Table of n, a(n) for n = 0..450</a>

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

%p seq(floor(pochhammer(3/11,n)), n = 0..25); # _G. C. Greubel_, Nov 30 2019

%t Floor[Pochhammer[3/11, Range[0, 25]]] (* _G. C. Greubel_, Nov 30 2019 *)

%o (PARI) x=3/11; vector(26, n, gamma(n-1+x)\gamma(x) ) \\ _G. C. Greubel_, Nov 30 2019

%o (Magma) [Floor(Gamma(n+3/11)/Gamma(3/11)): n in [0..25]]; // _G. C. Greubel_, Nov 30 2019

%o (Sage) [floor(rising_factorial(3/11, n)) for n in (0..25)] # _G. C. Greubel_, Nov 30 2019

%Y Cf. A020012, A020102.

%K nonn

%O 0,5

%A _Simon Plouffe_

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Last modified April 19 15:34 EDT 2024. Contains 371794 sequences. (Running on oeis4.)