A160213 Decimal expansion of (969+124*sqrt(2))/953.

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

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 (31+2*sqrt(2))/(31-2*sqrt(2)).

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129975.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160212.

Minimal polynomial: 953*x^2 - 1938*x + 953. - Amiram Eldar, May 11 2026

Example

1.20080008576522957612949569968730594096814198588325...

Mathematica

RealDigits[(969 +124*Sqrt[2])/953, 10, 100][[1]] (* G. C. Greubel, Apr 08 2018 *)

Prog

(PARI) (969 +124*sqrt(2))/953 \\ G. C. Greubel, Apr 08 2018
(Magma) (969 +124*Sqrt(2))/953; // G. C. Greubel, Apr 08 2018

Crossrefs

Cf. A129975, A160212, A002193 (decimal expansion of sqrt(2)), A160214 (decimal expansion of (1947891+1218490*sqrt(2))/953^2).

Sequence in context: A278157 A198232 A396452 * A354661 A192058 A021502

Adjacent sequences: A160210 A160211 A160212 * A160214 A160215 A160216

Keyword

cons,nonn

Author

Klaus Brockhaus, May 18 2009

Status

approved