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.

A020072 a(n) = floor( Gamma(n+3/8)/Gamma(3/8) ).

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%I A020072 #12 Sep 08 2022 08:44:44
%S A020072 1,0,0,1,4,18,97,619,4569,38269,358778,3722325,42341447,523975411,
%T A020072 7008171124,100742459918,1548915321245,25363488385398,440690610696307,
%U A020072 8097689971544644,156892743198677492,3196689642673053918
%N A020072 a(n) = floor( Gamma(n+3/8)/Gamma(3/8) ).
%H A020072 G. C. Greubel, <a href="/A020072/b020072.txt">Table of n, a(n) for n = 0..445</a>
%p A020072 Digits := 64:f := proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end;
%p A020072 seq(floor(pochhammer(3/8,n)), n = 0..25); # _G. C. Greubel_, Nov 17 2019
%t A020072 Floor[Pochhammer[3/8, Range[0, 25]]] (* _G. C. Greubel_, Nov 17 2019 *)
%o A020072 (PARI) vector(26, n, my(x=3/8); gamma(n-1+x)\gamma(x) ) \\ _G. C. Greubel_, Nov 17 2019
%o A020072 (Magma) [Floor(Gamma(n+3/8)/Gamma(3/8)): n in [0..25]]; // _G. C. Greubel_, Nov 17 2019
%o A020072 (Sage) [floor(rising_factorial(3/8, n)) for n in (0..25)] # _G. C. Greubel_, Nov 17 2019
%Y A020072 Cf. A020070, A020071, A020073.
%K A020072 nonn
%O A020072 0,5
%A A020072 _Simon Plouffe_