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.

A020067 Integer part of Gamma(n+4/9)/Gamma(4/9).

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%I A020067 #23 Sep 08 2022 08:44:44
%S A020067 1,0,0,1,5,24,130,842,6274,52988,500442,5226841,59818300,744405515,
%T A020067 10008118594,144561713037,2232675345794,36715105686390,
%U A020067 640474621418148,11813198572823622,229701083360459334,4696111037591613052
%N A020067 Integer part of Gamma(n+4/9)/Gamma(4/9).
%H A020067 G. C. Greubel, <a href="/A020067/b020067.txt">Table of n, a(n) for n = 0..445</a>
%p A020067 Digits := 64:f := proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)) end: seq(f(n,4/9), n=0..25);
%p A020067 # alternative:
%p A020067 seq(trunc(pochhammer(4/9,n)), n = 0..25); # _G. C. Greubel_, Nov 13 2019
%t A020067 IntegerPart[Pochhammer[4/9, Range[0, 25]]] (* _G. C. Greubel_, Nov 13 2019 *)
%o A020067 (PARI) P(n,x) = gamma(x+n)/gamma(x);
%o A020067 vector(26, n, truncate(P(n-1, 4/9)) ) \\ _G. C. Greubel_, Nov 13 2019
%o A020067 (Magma) [Truncate(Gamma(n+4/9)/Gamma(4/9)): n in [0..25]]; // _G. C. Greubel_, Nov 13 2019
%o A020067 (Sage) [int(rising_factorial(4/9, n)) for n in (0..25)] # _G. C. Greubel_, Nov 13 2019
%Y A020067 Cf. A020064, A020065, A020066, A020068, A020069.
%Y A020067 Cf. A020022, A020112.
%K A020067 nonn
%O A020067 0,5
%A A020067 _Simon Plouffe_