A068479 - OEIS

%I #7 Mar 30 2012 18:38:53

%S 1,1,1,2,4,205,4009,5523,14063,32669,47704,196620,589791,782889,

%T 804393,849445,976320,1256587,1789793,9067576,17283444,18567900,

%U 24793858,59704212,60741675,130071084,216799081,1518169585,4849913556

%N Engel expansion of Gamma(1/4)=3.62560990822190831193...

%C The Gamma function is defined by Gamma(0)=1 and the functional equation Gamma(x+1)=(x+1)*Gamma(x) Gamma(1/4)=3.62560990822190831193...

%F Gamma(1/4)=sum(i>0, prod(n=1, i, 1/a(n)))

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

%Y Cf. A006784.

%K easy,nonn

%O 1,4

%A _Benoit Cloitre_, Mar 10 2002