Shallit, J. O. Simple continued fractions for some irrational numbers. II. (English) Zbl 0481.10005 J. Number Theory 14, 228-231 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 22 Documents MSC: 11A55 Continued fractions 11J70 Continued fractions and generalizations Keywords:continued fractions for irrational numbers; Liouville’s number Citations:Zbl 0404.10003; Zbl 0419.10010; Zbl 0481.10006 PDF BibTeX XML Cite \textit{J. O. Shallit}, J. Number Theory 14, 228--231 (1982; Zbl 0481.10005) Full Text: DOI Online Encyclopedia of Integer Sequences: Continued fraction for Sum_{k>=0} 1/3^(2^k). Continued fraction for Liouville’s number (A012245). Continued fraction for Sum_{n>=0} 1/3^(3^n). Continued fraction expansion for c=sum_{k>=0} 1/2^(k!). References: [1] Shallit, J., Simple continued fractions for some irrational numbers, J. Number Theory, 11, 209-217 (1979) · Zbl 0404.10003 [2] Hardy, G. H.; Wright, E. M., (An Introduction to the Theory of Numbers (1971), Oxford Univ. Press (Clarendon): Oxford Univ. Press (Clarendon) London), 133 [3] Liouville, J., Sur des classes très-étendues de quantités dont la valeur n’est ni algébrique, ni même réductible à des irrationnelles algébriques, J. Math. Pures Appl., 16, 1, 139 (1851) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.