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.

A108745 Decimal expansion of C = 1/(1+2/(1+3/(1+5/(1+6/(1+8/(1+9/(1+11/(1+. .)))))))).

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%I A108745 #15 Sep 08 2013 13:30:44
%S A108745 5,0,7,8,2,9,7,3,2,4,8,8,6,8,4,3,2,7,8,9,4,0,8,5,3,0,8,7,8,9,6,8,7,1,
%T A108745 2,5,8,3,5,2,8,6,6,5,7,1,6,4,3,3,2,9,5,8,3,3,7,7,7,0,8,6,6,3,0,1,7,9,
%U A108745 2,8,4,0,4,8,9,2,3,5,2,5,3,7,6,7,0,6,6,5,3,7,2,2,0,0,0,6,9,4,0,2,8,4,2,5
%N A108745 Decimal expansion of C = 1/(1+2/(1+3/(1+5/(1+6/(1+8/(1+9/(1+11/(1+. .)))))))).
%F A108745 A = B + C with A = Gamma(1/3)*(e/9)^(1/3) and B = Sum_{ = n > 0 } 1/A007559(n).
%F A108745 C = Gamma(1/3, 1/3)*(e/9)^(1/3). - _Vladeta Jovovic_, Jun 26 2005
%e A108745 0.50782973248...
%t A108745 E^(1/3)*ExpIntegralE[2/3, 1/3]/3 // RealDigits[#, 10, 104]& // First (* _Jean-François Alcover_, Feb 22 2013 *)
%o A108745 (PARI) {C=1;oo=10^5;sum(k=1,oo,C=1./(1+(3*(oo-k+1)-1)/(1+3*(oo-k+1)*C)));return(C)} /* _Paul D. Hanna_ */
%Y A108745 Cf. A108743, A108744.
%K A108745 nonn,cons
%O A108745 0,1
%A A108745 _Philippe Deléham_, Jun 22 2005
%E A108745 More terms from _Paul D. Hanna_, Jun 25 2005