A159897 Decimal expansion of (843+58*sqrt(2))/839.

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

Offset

1,4

Links

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

Index entries for algebraic numbers, degree 2.

Formula

Equals (29 + sqrt(2))/(29 - sqrt(2)).

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A130647.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A159896.

Minimal polynomial: 839*x^2 - 1686*x + 839. - Amiram Eldar, May 10 2026

Example

1.10253204602817581982180923242450832962698566003797...

Mathematica

RealDigits[(843+58*Sqrt[2])/839, 10, 100][[1]] (* G. C. Greubel, May 17 2018 *)

Prog

(PARI) (843 +58*sqrt(2))/839 \\ G. C. Greubel, May 17 2018
(Magma) (843 +58*Sqrt(2))/839; // G. C. Greubel, May 17 2018

Crossrefs

Cf. A130647, A159896, A002193 (decimal expansion of sqrt(2)), A159898 (decimal expansion of (1760979+1141390*sqrt(2))/839^2).

Sequence in context: A011356 A021399 A242292 * A019709 A076840 A328823

Adjacent sequences: A159894 A159895 A159896 * A159898 A159899 A159900

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 30 2009

Status

approved