

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
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OFFSET

1,1


COMMENTS

Named after the RussianIsraeli 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. 188189.
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. 199203.
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



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



CROSSREFS



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AUTHOR



EXTENSIONS



STATUS

approved



