A160057 Decimal expansion of (8979+2990*sqrt(2))/89^2.

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

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Index entries for algebraic numbers, degree 2.

Formula

Equals (130+23*sqrt(2))/(130-23*sqrt(2)).

Equals (3+2*sqrt(2))*(14- 3*sqrt(2) )^2/(14+3*sqrt(2))^2.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = 0, b = A129298.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = 1, b = A160055.

Minimal polynomial: 7921*x^2 - 17958*x + 7921. - Amiram Eldar, May 11 2026

Example

1.66740292279959022799104270740903891616251974591302...

Mathematica

RealDigits[(8979+2990*Sqrt[2])/89^2, 10, 100][[1]] (* G. C. Greubel, Apr 15 2018 *)

Prog

(PARI) (8979+2990*sqrt(2))/89^2 \\ G. C. Greubel, Apr 15 2018
(Magma) (8979+2990*Sqrt(2))/89^2; // G. C. Greubel, Apr 15 2018

Crossrefs

Cf. A129298, A160055, A002193 (decimal expansion of sqrt(2)), A160056 (decimal expansion of (107+42*sqrt(2))/89).

Sequence in context: A244293 A196737 A070058 * A190145 A351214 A195103

Adjacent sequences: A160054 A160055 A160056 * A160058 A160059 A160060

Keyword

cons,nonn

Author

Klaus Brockhaus, May 04 2009

Status

approved