

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


REFERENCES

J. H. Conway and R. K. Guy, The Book of Numbers, Copernicus Press, NY, 1996, pp. 188189.
S. R. Finch, Mathematical Constants, Cambridge, 2003, Section 2.31.
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, Matty vanSon, Generalised Markov numbers, arXiv:1809.01688 [math.NT], 2018, p. 3.
J. Parkkonen, F. Paulin, Prescribing the behaviour of geodesics in negative curvature, Geom. Topol. 14 (2010) 277392
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: A178040 A090201 A130144 * A194880 A111624 A019815
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



