A160576 Decimal expansion of (119187+47998*sqrt(2))/313^2.

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

Offset: 1

Author

Klaus Brockhaus, Jun 08 2009

Keywords

• cons
• nonn

Comments

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A129640.

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

Examples

			(119187+47998*sqrt(2))/313^2 = 1.90944505472939211538...
		

Links

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

Crossrefs

Cf. A129640, A160574, A002193 (decimal expansion of sqrt(2)), A160575 (decimal expansion of (363+130*sqrt(2))/313).

Programs

Magma

(119187 +47998*Sqrt(2))/313^2; // G. C. Greubel, Apr 08 2018

Mathematica

RealDigits[(119187 +47998*Sqrt[2])/313^2, 10, 100][[1]] (* G. C. Greubel, Apr 08 2018 *)

PARI

(119187 +47998*sqrt(2))/313^2 \\ G. C. Greubel, Apr 08 2018

Formula

Equals (932 +206*sqrt(2))/(932 -206*sqrt(2)).

Equals (3+2*sqrt(2))*(26-5*sqrt(2))^2/(26+5*sqrt(2))^2.