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A092235 Decimal expansion of a constant x with the property that when x is added to each of the partial quotients of the continued fraction of x, the resulting continued fraction has a value of 1. 1

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

%S 5,3,1,5,1,7,1,6,3,1,8,1,8,2,2,5,4,0,1,1,3,2,5,4,1,4,9,2,7,3,1,8,8,2,

%T 2,2,8,8,8,2,1,9,9,4,4,4,4,6,6,1,2,2,3,0,3,1,6,9,8,6,6,1,6,5,6,4,7,9,

%U 0,9,5,2,4,9,3,0,0,7,6,8,6,7,7,0,3,0,3,6,7,5,2,6,3,9,9,4,1,7,1,3,1,8,5,7,0

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

%C The continued fraction expansion of the constant is given by A092234.

%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,...](A092234),

%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 where x = 0.53151716318182254011325414927318822288821994444661223031698661656479095249300768677030367526399417131857061006611...

%Y Cf. A092234.

%K cons,nonn

%O 0,1

%A _Paul D. Hanna_, Feb 26 2004

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