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

Author

Klaus Brockhaus, Jun 08 2009

Keywords

• cons
• nonn

Comments

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

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

Examples

			(363+130*sqrt(2))/313 = 1.74711745402077430141...
		

Links

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

Crossrefs

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

Programs

Magma

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

Mathematica

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

PARI

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

Formula

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