A159691 Decimal expansion of (883 + 42*sqrt(2))/881.

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

Offset

1,3

Links

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

Index entries for algebraic numbers, degree 2.

Formula

Equals (42 + sqrt(2))/(42 - sqrt(2)).

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A130014.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A159690.

Minimal polynomial: 881*x^2 - 1766*x + 881. - Amiram Eldar, May 07 2026

Example

1.06969009037419976396103396869104122508504678634033...

Mathematica

RealDigits[(883+42*Sqrt[2])/881, 10, 100][[1]] (* G. C. Greubel, May 10 2018 *)

Prog

(PARI) (883+42*sqrt(2))/881 \\ G. C. Greubel, May 10 2018
(Magma) (883+42*Sqrt(2))/881; // G. C. Greubel, May 10 2018

Crossrefs

Cf. A130014, A159690, A002193 (decimal expansion of sqrt(2)), A159692 (decimal expansion of (2052963+1343918*sqrt(2))/881^2).

Sequence in context: A154394 A126599 A260230 * A118947 A023410 A010725

Adjacent sequences: A159688 A159689 A159690 * A159692 A159693 A159694

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 21 2009

Status

approved