A160210 Decimal expansion of (1179+506*sqrt(2))/937.

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

Offset

1,1

Links

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

Index entries for algebraic numbers, degree 2.

Formula

Equals (46 + 11*sqrt(2))/(46 - 11*sqrt(2)).

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129974.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160209.

Minimal polynomial: 937*x^2 - 2358*x + 937. - Amiram Eldar, May 12 2026

Example

2.021976587578213548232288681376848695577645644547209...

Mathematica

RealDigits[(1179+506Sqrt[2])/937, 10, 120][[1]] (* Harvey P. Dale, Feb 25 2017 *)

Prog

(PARI) (1179+506*sqrt(2))/937 \\ G. C. Greubel, Apr 08 2018
(Magma) (1179+506*Sqrt(2))/937; // G. C. Greubel, Apr 08 2018

Crossrefs

Cf. A129974, A160209, A002193 (decimal expansion of sqrt(2)), A160211 (decimal expansion of (933747+224782*sqrt(2))/937^2).

Sequence in context: A363580 A196517 A298141 * A174610 A384138 A375108

Adjacent sequences: A160207 A160208 A160209 * A160211 A160212 A160213

Keyword

cons,nonn

Author

Klaus Brockhaus, May 18 2009

Status

approved