A084823 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.

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, 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, 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