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 A118472 Decimal expansion of Freiman's constant. 0
 4, 5, 2, 7, 8, 2, 9, 5, 6, 6, 1, 6, 0, 8, 7, 9, 1, 4, 0, 8, 8, 2, 6, 9, 5, 9, 8, 8, 0, 7, 0, 4, 6, 9, 6, 4, 6, 9, 2, 9, 8, 3, 3, 6, 3, 2, 7, 6, 9, 7, 2, 8, 3, 7, 4, 0, 6, 5, 0, 6, 1, 7, 9, 2, 0, 0, 9, 8, 6, 2, 9, 8, 3, 4, 1, 3, 1, 3, 5, 4, 2, 7, 3, 2, 3, 0, 8, 6, 1, 5, 0, 7, 1, 7, 0, 7, 0, 9, 5, 1, 5, 2, 0, 4, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Named after the Russian-Israeli mathematician Gregory Abelevich Freiman (b. 1926). - Amiram Eldar, Jun 15 2021 REFERENCES John H. Conway and Richard K. Guy, The Book of Numbers, Copernicus Press, NY, 1996, pp. 188-189. Thomas W. Cusick and Mary E. Flahive, The Markoff and Lagrange spectra, American Mathematical Society, 1989, p. 55. Steven R. Finch, Mathematical Constants, Cambridge, 2003, Section 2.31, pp. 199-203. G. A. Freiman, Diophantine approximations and the geometry of numbers (Markov's problem) (in Russian), Kalininskii Gosudarstvennyi Universitet, Kalinin, 1975. Julian Havil, The Irrationals, Princeton University Press, Princeton and Oxford, 2012, p. 175. LINKS Table of n, a(n) for n=1..105. Oleg Karpenkov and Matty van Son, Generalised Markov numbers, Journal of Number Theory, Vol. 213 (2020), pp. 16-66; arXiv preprint, arXiv:1809.01688 [math.NT], 2018. See p. 3. Jouni Parkkonen and Frédéric Paulin, Prescribing the behaviour of geodesics in negative curvature, Geom. Topol. 14 (2010) 277-392 Eric Weisstein's World of Mathematics, Freiman's Constant.. Wikipedia, Markov spectrum. FORMULA The constant is (2221564096 + 283748*sqrt(462))/491993569 = 4 + (253589820 + 283748*sqrt(462))/491993569. See the programs and the references. - Wolfdieter Lang, May 29 2018 EXAMPLE 4.52782956616087914088269598807046964692983363276972837406506179200... MATHEMATICA RealDigits[(2221564096 + 283748Sqrt@462)/491993569, 10, 111][[1]] - Robert G. Wilson v, May 04 2006 PROG (PARI) (2221564096 + 283748*sqrt(462))/491993569 \\ Charles R Greathouse IV, Oct 31 2014 CROSSREFS Sequence in context: A090201 A130144 A354634 * A356151 A194880 A111624 Adjacent sequences: A118469 A118470 A118471 * A118473 A118474 A118475 KEYWORD nonn,cons AUTHOR Philippe Deléham, May 04 2006 EXTENSIONS More terms from Robert G. Wilson v, May 04 2006 STATUS approved

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Last modified December 2 03:59 EST 2023. Contains 367505 sequences. (Running on oeis4.)