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.

A020064 Integer part of Gamma(n+8/9)/Gamma(8/9).

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%I A020064 #22 Sep 08 2022 08:44:44
%S A020064 1,0,1,4,18,92,543,3741,29513,262341,2594261,28248627,335844792,
%T A020064 4328666215,60120364100,895125421053,14222548356738,240203038913807,
%U A020064 4296965473902563,81164903395937306,1614279745319197538
%N A020064 Integer part of Gamma(n+8/9)/Gamma(8/9).
%H A020064 G. C. Greubel, <a href="/A020064/b020064.txt">Table of n, a(n) for n = 0..445</a>
%p A020064 Digits := 64:f := proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end;
%p A020064 seq(trunc(pochhammer(8/9,n)), n = 0..20); # _G. C. Greubel_, Nov 13 2019
%t A020064 IntegerPart[Pochhammer[8/9, Range[0, 20]]] (* _G. C. Greubel_, Nov 13 2019 *)
%o A020064 (PARI) P(n,x) = gamma(x+n)/gamma(x);
%o A020064 vector(21, n, truncate(P(n-1, 8/9)) ) \\ _G. C. Greubel_, Nov 13 2019
%o A020064 (Magma) [Truncate(Gamma(n+8/9)/Gamma(8/9)): n in [0..20]]; // _G. C. Greubel_, Nov 13 2019
%o A020064 (Sage) [int(rising_factorial(8/9, n)) for n in (0..20)] # _G. C. Greubel_, Nov 13 2019
%Y A020064 Cf. A020065, A020066, A020067, A020068, A020069.
%Y A020064 Cf. A020019, A020109.
%K A020064 nonn
%O A020064 0,4
%A A020064 _Simon Plouffe_