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.

A020086 a(n) = floor( Gamma(n + 3/4)/Gamma(3/4) ).

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%I A020086 #16 Sep 08 2022 08:44:44
%S A020086 1,0,1,3,13,64,369,2495,19338,169214,1649843,17735822,208395915,
%T A020086 2657047923,36534408953,538882532060,8487399879954,142163947989232,
%U A020086 2523410076808876,47313938940166438,934450294068287157
%N A020086 a(n) = floor( Gamma(n + 3/4)/Gamma(3/4) ).
%H A020086 G. C. Greubel, <a href="/A020086/b020086.txt">Table of n, a(n) for n = 0..449</a>
%p A020086 Digits:= 64: x:=3/4: f := proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end;
%p A020086 seq(floor(pochhammer(3/4,n)), n = 0..25); # _G. C. Greubel_, Nov 17 2019
%t A020086 Floor[Pochhammer[3/4, Range[0, 25]]] (* _G. C. Greubel_, Nov 19 2018 *)
%o A020086 (PARI) vector(26, n, my(x=3/4); gamma(n-1+x)\gamma(x) ) \\ _G. C. Greubel_, Nov 19 2018
%o A020086 (Magma) [Truncate(Gamma(n + 3/4)/Gamma(3/4)): n in [0..30]]; // _G. C. Greubel_, Nov 19 2018
%o A020086 (Sage) [int(gamma(n + 3/4)/gamma(3/4))  for n in range(30)] # _G. C. Greubel_, Nov 19 2018
%Y A020086 Cf. A020041, A020131.
%K A020086 nonn
%O A020086 0,4
%A A020086 _Simon Plouffe_