A359454 Decimal expansion of Knopfmacher's limit: Limit_{x -> 1 from below} (1/(1-x)) * Product_{k>=2} (1 - x^m(k)/(k+1)), where m(k) = A060681(k) = k - k/A020639(k).
2, 2, 9, 2, 1, 7, 3, 6, 9, 5, 3
Offset: 1
Examples
2.2921736953...
Links
- Folkmar Bornemann, Dirk Laurie, Stan Wagon, and Jörg Waldvogel, The SIAM 100-Digit Challenge, A Study in High-Accuracy Numerical Computing, SIAM, Philadelphia, 2004. See Appendix D, Problem 3, p. 282.
- Arnold Knopfmacher, A tricky limit, Usenet news group post to comp.soft-sys.math.mathematica, 1999.
- Daniel Lichtblau, The evaluation of Knopfmacher's curious limit, Wolfram Research, Inc., Note of August 2000.
- Daniel Lichtblau, Computing Knopfmacher's Limit, or My First Foray into Computational Mathematics, Reprise, Wolfram Research, Inc., 2009.
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