Continued fractions for finite sums
Annales mathématiques Blaise Pascal, Tome 1 (1994) no. 2, pp. 71-84. 
@article{AMBP_1994__1_2_71_0,
     author = {Verdoodt, Ann},
     title = {Continued fractions for finite sums},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {71--84},
     publisher = {Universit\'e Blaise Pascal, D\'epartement de math\'ematiques},
     address = {63177 Les C\'ezeaux, Aubi\`ere},
     volume = {1},
     number = {2},
     year = {1994},
     mrnumber = {1321677},
     zbl = {0829.11005},
     language = {en},
     url = {http://archive.numdam.org/item/AMBP_1994__1_2_71_0/}
}
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Verdoodt, Ann. Continued fractions for finite sums. Annales mathématiques Blaise Pascal, Tome 1 (1994) no. 2, pp. 71-84. http://archive.numdam.org/item/AMBP_1994__1_2_71_0/

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[2] J.O. Shallit , Simple Continued Fractions for Some Irrational Numbers , Journal of Number Theory , vol. 11 ( 1979) , p. 209-217. | MR | Zbl

[3] J.O. Shallit , Simple Continued Fractions for Some Irrational Numbers II, Journal of Number Theory , vol. 14 (1982), p. 228-231. | MR | Zbl

[4] D.S. Thakur, Continued Fraction for the Exponential for Fq[t], Journal of Number Theory , vol. 41 (1992), p. 150-155. | MR | Zbl