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A020074 a(n) = floor( Gamma(n+6/7)/Gamma(6/7) ). 7

%I #14 Sep 08 2022 08:44:44

%S 1,0,1,4,17,85,499,3422,26888,238157,2347553,25487720,302211542,

%T 3885576978,53842995267,799953072548,12684970150410,213832353964066,

%U 3818434892215473,72004772253206072,1429809049027949159

%N a(n) = floor( Gamma(n+6/7)/Gamma(6/7) ).

%H G. C. Greubel, <a href="/A020074/b020074.txt">Table of n, a(n) for n = 0..445</a>

%p Digits := 64:f := proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end;

%p seq(floor(pochhammer(6/7,n)), n = 0..25); # _G. C. Greubel_, Nov 17 2019

%t Floor[Pochhammer[6/7, Range[0, 25]]] (* _G. C. Greubel_, Nov 17 2019 *)

%o (PARI) vector(26, n, my(x=6/7); gamma(n-1+x)\gamma(x) ) \\ _G. C. Greubel_, Nov 17 2019

%o (Magma) [Floor(Gamma(n+6/7)/Gamma(6/7)): n in [0..25]]; // _G. C. Greubel_, Nov 17 2019

%o (Sage) [floor(rising_factorial(6/7, n)) for n in (0..25)] # _G. C. Greubel_, Nov 17 2019

%Y Cf. A220607.

%Y Cf. A020075, A020076, A020077, A020078, A020079.

%K nonn

%O 0,4

%A _Simon Plouffe_

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Last modified April 19 16:52 EDT 2024. Contains 371794 sequences. (Running on oeis4.)