A Real Number whose Continued Fraction is periodic, and the periodic sequence of terms is
composed of a string of 1s followed by an Integer ,
(1) |
(2) |
(3) |
(4) |
See also Noble Number
References
Schroeder, M. R.
Number Theory in Science and Communication: With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity, 2nd enl. ed., corr. printing.
Berlin: Springer-Verlag, 1990.
Schroeder, M. ``Noble and Near Noble Numbers.'' In Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise.
New York: W. H. Freeman, pp. 392-394, 1991.