

A208151


Decimal expansion of 3344161/1494696.


2



2, 2, 3, 7, 3, 5, 1, 9, 4, 3, 1, 3, 7, 6, 0, 1, 2, 2, 4, 5, 9, 6, 8, 4, 1, 0, 9, 6, 7, 8, 4, 8, 9, 8, 0, 6, 6, 2, 2, 8, 8, 5, 1, 8, 8, 6, 9, 3, 8, 8, 8, 2, 5, 5, 5, 3, 8, 2, 4, 9, 9, 1, 8, 3, 7, 8, 0, 5, 1, 4, 5, 6, 6, 1, 7, 2, 6, 5, 3, 1, 6, 8, 2, 6, 9, 6, 6, 8, 2, 1, 3, 4, 6, 9, 4, 9, 4, 8, 0, 0, 2, 8, 0, 4, 5
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OFFSET

1,1


COMMENTS

3344161/1494696 is a rational number r such that both r^2 + 5 and r^2  5 are the squares of rational numbers because r^2 + 5 = (4728001/1494696)^2 and r^2  5 = (113279/1494696)^2.
2, 2, 3, 7 followed by repetitions of a period 210 sequence.


REFERENCES

J. Svoboda, L'intermédiaire des math., 21, 1914, pp. 176178.


LINKS

Arkadiusz Wesolowski, Table of n, a(n) for n = 1..1000
Alessandro Padoa, Un duplice sistema indeterminato, Atti del Congresso Internazionale dei Matematici Bologna 310 Settembre 1928 (VI) Tomo II, Comunicazioni Sezione I (AB), pp. 2530.


EXAMPLE

3344161/1494696 = 2.237351943137601224596841096....


MATHEMATICA

RealDigits[N[3344161/1494696, 200]][[1]]


PROG

(PARI) default(realprecision, 200); x=3344161/1494696; for(n=1, 200, d=floor(x); x=(xd)*10; print1(d, ", "));


CROSSREFS

Sequence in context: A296019 A134232 A123934 * A203362 A183407 A222838
Adjacent sequences: A208148 A208149 A208150 * A208152 A208153 A208154


KEYWORD

cons,easy,nonn


AUTHOR

Arkadiusz Wesolowski, Feb 27 2012


STATUS

approved



