A161488 Decimal expansion of (209+60*sqrt(2))/191.

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

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 (20+3*sqrt(2))/(20-3*sqrt(2)).

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A161486.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A161487.

Minimal polynomial: 191*x^2 - 418*x + 191. - Amiram Eldar, Apr 28 2026

Example

1.53849640702819739752932630079885803515277650535401...

Mathematica

RealDigits[(209+60*Sqrt[2])/191, 10, 100][[1]] (* G. C. Greubel, Apr 06 2018 *)

Prog

(PARI) (209+60*sqrt(2))/191 \\ G. C. Greubel, Apr 06 2018
(Magma)  (209 + 60*Sqrt(2))/191; // G. C. Greubel, Apr 06 2018

Crossrefs

Cf. A161486, A161487, A002193 (decimal expansion of sqrt(2)), A161489 (decimal expansion of (52323+26522*sqrt(2))/191^2).

Sequence in context: A021069 A372269 A237192 * A010484 A390074 A174930

Adjacent sequences: A161485 A161486 A161487 * A161489 A161490 A161491

Keyword

cons,nonn

Author

Klaus Brockhaus, Jun 13 2009

Status

approved