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.

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

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%I A020083 #16 Sep 08 2022 08:44:44
%S A020083 1,0,0,2,8,41,231,1527,11610,99850,958561,10160755,117864768,
%T A020083 1485096081,20197306708,294880677941,4600138575887,76362300359740,
%U A020083 1343976486331425,24997962645764522,489960067856984638
%N A020083 a(n) = floor( Gamma(n + 3/5)/Gamma(3/5) ).
%H A020083 G. C. Greubel, <a href="/A020083/b020083.txt">Table of n, a(n) for n = 0..449</a>
%p A020083 Digits:= 64: x:=3/5: f:= proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end;
%p A020083 seq(floor(pochhammer(3/5,n)), n = 0..25); # _G. C. Greubel_, Nov 17 2019
%t A020083 Floor[Pochhammer[3/5, Range[0, 25]]] (* _G. C. Greubel_, Nov 19 2018 *)
%o A020083 (PARI) vector(26, n, my(x=3/5); gamma(n-1+x)\gamma(x) ) \\ _G. C. Greubel_, Nov 19 2018
%o A020083 (Magma) [Truncate(Gamma(n + 3/5)/Gamma(3/5)): n in [0..30]]; // _G. C. Greubel_, Nov 19 2018
%o A020083 (Sage) [int(gamma(n + 3/5)/gamma(3/5))  for n in range(30)] # _G. C. Greubel_, Nov 19 2018
%Y A020083 Cf. A020038, A020128.
%Y A020083 Cf. A020082, A020084, A020085.
%K A020083 nonn
%O A020083 0,4
%A A020083 _Simon Plouffe_