A020123 - OEIS

%I #14 Nov 24 2022 14:21:38

%S 1,1,1,1,3,12,63,393,2863,23715,220205,2264966,25561752,314044379,

%T 4172303890,59604341273,911094930877,14837831731420,256482519928832,

%U 4689966078698629,90449345803473559,1834829586299035049

%N Ceiling of Gamma(n+2/7)/Gamma(2/7).

%H Robert Israel, <a href="/A020123/b020123.txt">Table of n, a(n) for n = 0..450</a>

%F a(n) ~ sqrt(2*Pi)*n^(n-3/14)*exp(-n)/Gamma(2/7). - _Robert Israel_, Jan 02 2017

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

%t Table[Ceiling[Gamma[n+2/7]/Gamma[2/7]],{n,0,30}] (* _Harvey P. Dale_, Nov 24 2022 *)

%Y Cf. A220605.

%K nonn

%O 0,5

%A _Simon Plouffe_