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Decimal expansion of x, where x is the unique number, given floor(x)=0, having the property that the signature sequence of x is equal to the continued fraction expansion of x.
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%I #9 Jan 21 2023 02:26:18

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

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

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

%N Decimal expansion of x, where x is the unique number, given floor(x)=0, having the property that the signature sequence of x is equal to the continued fraction expansion of x.

%H Paul D. Hanna, <a href="/A084823/b084823.txt">Table of n, a(n) for n = 0..1000</a>

%e 0.5772846089557105648944851585150204938530753765812706743158491735333298369...

%Y Cf. A084822 (signature sequence and continued fraction).

%K cons,nonn

%O 0,1

%A _Paul D. Hanna_, Jun 04 2003