A160575 Decimal expansion of (363+130*sqrt(2))/313.

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

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 (26+5*sqrt(2))/(26-5*sqrt(2)).

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129640.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160574.

Minimal polynomial: 313*x^2 - 726*x + 313. - Amiram Eldar, Apr 28 2026

Example

1.74711745402077430141923173848965095915034295143451...

Mathematica

RealDigits[(363 +130*Sqrt[2])/313, 10, 100][[1]] (* G. C. Greubel, Apr 08 2018 *)

Prog

(PARI) (363 +130*sqrt(2))/313 \\ G. C. Greubel, Apr 08 2018
(Magma) (363 +130*Sqrt(2))/313; // G. C. Greubel, Apr 08 2018

Crossrefs

Cf. A129640, A160574, A002193 (decimal expansion of sqrt(2)), A160576 (decimal expansion of (119187+47998*sqrt(2))/313^2).

Sequence in context: A085665 A176434 A027625 * A194361 A153586 A392572

Adjacent sequences: A160572 A160573 A160574 * A160576 A160577 A160578

Keyword

cons,nonn

Author

Klaus Brockhaus, Jun 08 2009

Status

approved