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.

A020080 a(n) = floor( Gamma(n + 5/6)/Gamma(5/6) ).

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%I A020080 #16 Sep 08 2022 08:44:44
%S A020080 1,0,1,4,16,80,467,3196,25042,221208,2175216,23564850,278850730,
%T A020080 3578584368,49503750432,734305631412,11626505830701,195712848150140,
%U A020080 3490212458677514,65732334638426516,1303691303662125905
%N A020080 a(n) = floor( Gamma(n + 5/6)/Gamma(5/6) ).
%H A020080 G. C. Greubel, <a href="/A020080/b020080.txt">Table of n, a(n) for n = 0..449</a>
%p A020080 Digits:= 64: x:=5/6: f:= proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end;
%p A020080 seq(floor(pochhammer(5/6,n)), n = 0..25); # _G. C. Greubel_, Nov 17 2019
%t A020080 Floor[Pochhammer[5/6, Range[0, 25]]] (* _G. C. Greubel_, Nov 19 2018 *)
%o A020080 (PARI) vector(26, n, my(x=5/6); gamma(n-1+x)\gamma(x) ) \\ _G. C. Greubel_, Nov 19 2018
%o A020080 (Magma) [Truncate(Gamma(n + 5/6)/Gamma(5/6)): n in [0..30]]; // _G. C. Greubel_, Nov 19 2018
%o A020080 (Sage) [int(gamma(n + 5/6)/gamma(5/6))  for n in range(30)] # _G. C. Greubel_, Nov 19 2018
%Y A020080 Cf. A020035, A020125.
%K A020080 nonn
%O A020080 0,4
%A A020080 _Simon Plouffe_