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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

REFERENCES

J. H. Conway and R. K. Guy, The Book of Numbers, Copernicus Press, NY, 1996, pp. 188-189.

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 van-Son, 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) 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: 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

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Last modified December 16 04:19 EST 2018. Contains 318158 sequences. (Running on oeis4.)