cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A020084 a(n) = floor( Gamma(n + 2/5)/Gamma(2/5) ).

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%I A020084 #16 Sep 08 2022 08:44:44
%S A020084 1,0,0,1,4,20,108,694,5142,43193,406016,4222569,48137291,596902408,
%T A020084 7998492273,115178288736,1773745646539,29089428603255,506156057696641,
%U A020084 9313271461618195,180677466355392995,3685820313650017111
%N A020084 a(n) = floor( Gamma(n + 2/5)/Gamma(2/5) ).
%H A020084 G. C. Greubel, <a href="/A020084/b020084.txt">Table of n, a(n) for n = 0..449</a>
%p A020084 Digits:= 64: x:=2/5: f:= proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end;
%p A020084 seq(floor(pochhammer(2/5,n)), n = 0..25); # _G. C. Greubel_, Nov 17 2019
%t A020084 Floor[Pochhammer[2/5, Range[0, 25]]] (* _G. C. Greubel_, Nov 19 2018 *)
%o A020084 (PARI) vector(26, n, my(x=2/5); gamma(n-1+x)\gamma(x) ) \\ _G. C. Greubel_, Nov 19 2018
%o A020084 (Magma) [Truncate(Gamma(n + 2/5)/Gamma(2/5)): n in [0..30]]; // _G. C. Greubel_, Nov 19 2018
%o A020084 (Sage) [int(gamma(n + 2/5)/gamma(2/5))  for n in range(30)] # _G. C. Greubel_, Nov 19 2018
%Y A020084 Cf. A020039, A020129.
%Y A020084 Cf. A020082, A020083, A020085.
%K A020084 nonn
%O A020084 0,5
%A A020084 _Simon Plouffe_