A159810 Decimal expansion of (227+30*sqrt(2))/223.

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

Offset: 1

Author

Klaus Brockhaus, Apr 30 2009

Keywords

• cons
• nonn

Comments

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A130609.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A159809.

Examples

			(227+30*sqrt(2))/223 = 1.20819016534167197965...
		

Links

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

Crossrefs

Cf. A130609, A159809, A002193 (decimal expansion of sqrt(2)), A159811 (decimal expansion of (105507+65798*sqrt(2))/223^2).

Programs

Magma

(227 +30*Sqrt(2))/223; // G. C. Greubel, May 19 2018

Mathematica

RealDigits[(227+30*Sqrt[2])/223,10,120][[1]] (* Harvey P. Dale, Sep 10 2017 *)

PARI

(227 +30*sqrt(2))/223 \\ G. C. Greubel, May 19 2018

Formula

Equals (15 +sqrt(2))/(15 -sqrt(2)).