A160207 Decimal expansion of (907+210*sqrt(2))/857.

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

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 (42+5*sqrt(2))/(42-5*sqrt(2)).

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129857.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160206.

Minimal polynomial: 857*x^2 - 1814*x + 857. - Amiram Eldar, May 12 2026

Example

1.40488313663751453937964367804438342648731749571663...

Mathematica

RealDigits[(907+210Sqrt[2])/857, 10, 150][[1]]  (* Harvey P. Dale, Mar 20 2011 *)

Prog

(PARI) (907+210*sqrt(2))/857 \\ G. C. Greubel, Apr 25 2018
(Magma) (907+210*Sqrt(2))/857; // G. C. Greubel, Apr 25 2018

Crossrefs

Cf. A129857, A160206, A002193 (decimal expansion of sqrt(2)), A160208 (decimal expansion of (1208787+678878*sqrt(2))/857^2).

Sequence in context: A338828 A298518 A021251 * A190103 A176714 A055951

Adjacent sequences: A160204 A160205 A160206 * A160208 A160209 A160210

Keyword

cons,nonn

Author

Klaus Brockhaus, May 18 2009

Status

approved