A161489 Decimal expansion of (52323 + 26522*sqrt(2))/191^2.

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

Offset

1,1

Links

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

Index entries for algebraic numbers, degree 2.

Formula

Equals (298 + 89*sqrt(2))/(298 - 89*sqrt(2)).

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

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = 0, b = A161486.

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

Minimal polynomial: 36481*x^2 - 104646*x + 36481. - Amiram Eldar, Apr 27 2026

Example

2.46239884052682840065563960262848091992612147360947...

Mathematica

RealDigits[(52323+26522*Sqrt[2])/191^2, 10, 100][[1]] (* G. C. Greubel, Apr 06 2018 *)

Prog

(PARI) (52323 + 26522*sqrt(2))/191^2 \\ G. C. Greubel, Apr 06 2018
(Magma) (52323 + 26522*Sqrt(2))/191^2; // G. C. Greubel, Apr 06 2018

Crossrefs

Cf. A161486, A161487, A002193 (decimal expansion of sqrt(2)), A161488 (decimal expansion of (209+60*sqrt(2))/191).

Sequence in context: A056649 A376556 A075242 * A050975 A053446 A354577

Adjacent sequences: A161486 A161487 A161488 * A161490 A161491 A161492

Keyword

cons,nonn

Author

Klaus Brockhaus, Jun 13 2009

Status

approved