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Continued fraction expansion of a constant x with the property that when x is added to each of these partial quotients, the resulting continued fraction has a value of 1.
1

%I #3 Mar 30 2012 18:36:40

%S 0,1,1,7,2,3,5,2,1,3,2,3,1,1,1,1,1,2,1,2,1,1,2,33,12,3,1,2,3,1,4,37,1,

%T 1,5,1,25,7,4,1,1,1,1,3,1,3,2,3,1,9,2,1,3,1,3,5,2,79,7,1,1,5,3,1,10,1,

%U 1,4,2,3,3,2,1,6,1,1,5,1,98,2,3,1,2,1,11,1,14,7,16,2,1,1,9,8,2,1,1,21,1,1,1

%N Continued fraction expansion of a constant x with the property that when x is added to each of these partial quotients, the resulting continued fraction has a value of 1.

%C More digits of the constant are given in A092235.

%e Given x = [0;1,1,7,2,3,5,2,1,3,2,3,1,1,1,1,1,2,1,2,1,1,2,...],

%e then 1 = [0+x;1+x,1+x,7+x,2+x,3+x,5+x,2+x,1+x,3+x,2+x,3+x,...]

%e and x = 0.5315171631818225401132541492731882228882199444466...

%Y Cf. A092235.

%K cofr,nonn

%O 0,4

%A _Paul D. Hanna_, Feb 26 2004