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Engel expansion of Gamma(3/4) = Sum_{i>0} 1/Product_{n=1..i} 1/a(n).
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%I #12 Jan 09 2021 11:50:16

%S 1,5,8,60,11640,14881,23098,90040,239883,1631365,2803282,4276595,

%T 4343763,10834865,50457394,101387685,349770616,384832508,1025023303,

%U 1582124479,7753484647,14554741880,110768341257,246113848342

%N Engel expansion of Gamma(3/4) = Sum_{i>0} 1/Product_{n=1..i} 1/a(n).

%C The Gamma function is defined by Gamma(0)=1 and the functional equation Gamma(x+1) = (x+1)*Gamma(x).

%o (PARI) \\ 500 significant digits

%o s=gamma(3/4); for(i=0,40,s=s*ceil(1/s)-1; print1(ceil(1/s), ", "); );

%Y Cf. A006784.

%K easy,nonn

%O 1,2

%A _Benoit Cloitre_, Mar 10 2002