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.

A020078 a(n) = floor( Gamma(n+2/7)/Gamma(2/7) ).

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%I A020078 #12 Sep 08 2022 08:44:44
%S A020078 1,0,0,0,2,11,62,392,2862,23714,220204,2264965,25561751,314044378,
%T A020078 4172303889,59604341272,911094930876,14837831731419,256482519928831,
%U A020078 4689966078698628,90449345803473558,1834829586299035048
%N A020078 a(n) = floor( Gamma(n+2/7)/Gamma(2/7) ).
%H A020078 G. C. Greubel, <a href="/A020078/b020078.txt">Table of n, a(n) for n = 0..445</a>
%p A020078 Digits := 64:f := proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end;
%p A020078 seq(floor(pochhammer(2/7,n)), n = 0..25); # _G. C. Greubel_, Nov 17 2019
%t A020078 Floor[Pochhammer[2/7, Range[0, 25]]] (* _G. C. Greubel_, Nov 17 2019 *)
%o A020078 (PARI) vector(26, n, my(x=2/7); gamma(n-1+x)\gamma(x) ) \\ _G. C. Greubel_, Nov 17 2019
%o A020078 (Magma) [Floor(Gamma(n+2/7)/Gamma(2/7)): n in [0..25]]; // _G. C. Greubel_, Nov 17 2019
%o A020078 (Sage) [floor(rising_factorial(2/7, n)) for n in (0..25)] # _G. C. Greubel_, Nov 17 2019
%Y A020078 Cf. A220605.
%Y A020078 Cf. A020074, A020075, A020076, A020077, A020079.
%K A020078 nonn
%O A020078 0,5
%A A020078 _Simon Plouffe_