A160204 Decimal expansion of (873+232*sqrt(2))/809.

1, 4, 8, 4, 6, 6, 9, 4, 0, 2, 3, 1, 2, 1, 8, 5, 4, 7, 7, 5, 3, 0, 2, 7, 4, 1, 4, 5, 8, 7, 9, 6, 6, 6, 1, 9, 8, 0, 5, 7, 0, 6, 2, 8, 8, 6, 3, 8, 7, 4, 5, 6, 0, 6, 0, 5, 4, 0, 1, 6, 0, 3, 2, 0, 4, 1, 2, 6, 6, 9, 8, 8, 2, 5, 7, 5, 0, 4, 1, 8, 2, 0, 7, 8, 2, 8, 0, 5, 8, 1, 9, 4, 8, 5, 8, 0, 0, 7, 9, 7, 1, 2, 5, 4, 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 (29+4*sqrt(2))/(29-4*sqrt(2)).

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A123654.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160203.

Minimal polynomial: 809*x^2 - 1746*x + 809. - Amiram Eldar, May 12 2026

Example

1.48466940231218547753027414587966619805706288638745...

Mathematica

RealDigits[(873+232Sqrt[2])/809, 10, 120][[1]] (* Harvey P. Dale, Mar 22 2018 *)

Prog

(PARI) (873+232*sqrt(2))/809 \\ G. C. Greubel, Apr 25 2018
(Magma) (873+232*Sqrt(2))/809; // G. C. Greubel, Apr 25 2018

Crossrefs

Cf. A123654, A160203, A002193 (decimal expansion of sqrt(2)), A160205 (decimal expansion of (989043+524338*sqrt(2))/809^2).

Sequence in context: A082632 A296481 A155874 * A200392 A195289 A247318

Adjacent sequences: A160201 A160202 A160203 * A160205 A160206 A160207

Keyword

cons,nonn

Author

Klaus Brockhaus, May 18 2009

Status

approved