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A020056 a(n) = floor(Gamma(n+4/11)/Gamma(4/11)). 2

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

%S 1,0,0,1,3,17,92,587,4323,36162,338610,3509239,39877720,493033634,

%T 6588722212,94638009963,1453983971264,23792464984330,413123710182463,

%U 7586453586987048,146901328548021942,2991445235886992290

%N a(n) = floor(Gamma(n+4/11)/Gamma(4/11)).

%H G. C. Greubel, <a href="/A020056/b020056.txt">Table of n, a(n) for n = 0..449</a>

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

%p seq(floor(pochhammer(4/11,n)), n = 0..25); # _G. C. Greubel_, Nov 30 2019

%t Floor[Pochhammer[4/11, Range[0, 25]]] (* _G. C. Greubel_, Nov 30 2019 *)

%o (PARI) x=4/11; vector(26, n, gamma(n-1+x)\gamma(x) ) \\ _G. C. Greubel_, Nov 30 2019

%o (Magma) [Floor(Gamma(n+4/11)/Gamma(4/11)): n in [0..25]]; // _G. C. Greubel_, Nov 30 2019

%o (Sage) [floor(rising_factorial(4/11, n)) for n in (0..25)] # _G. C. Greubel_, Nov 30 2019

%Y Cf. A020011, A020101.

%K nonn

%O 0,5

%A _Simon Plouffe_

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Last modified April 16 04:38 EDT 2024. Contains 371696 sequences. (Running on oeis4.)