A208151 Decimal expansion of 3344161/1494696.

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

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. 176-178.

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 3-10 Settembre 1928 (VI) Tomo II, Comunicazioni Sezione I (A-B), pp. 25-30.

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=(x-d)*10; print1(d, ", "));

Crossrefs

Sequence in context: A134232 A123934 A363365 * A203362 A368219 A183407

Adjacent sequences: A208148 A208149 A208150 * A208152 A208153 A208154

Keyword

cons,easy,nonn

Author

Arkadiusz Wesolowski, Feb 27 2012

Status

approved