A159811 Decimal expansion of (105507 + 65798*sqrt(2))/223^2.

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

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 = 0, b = A130609.

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

Examples

			(105507+65798*sqrt(2))/223^2 = 3.99282961605954087194...
		

Links

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

Crossrefs

Cf. A130609, A159809, A002193 (decimal expansion of sqrt(2)), A159810 (decimal expansion of (227+30*sqrt(2))/223).

Programs

Magma

(105507+65798*Sqrt(2))/223^2; // G. C. Greubel, May 19 2018

Mathematica

RealDigits[(105507 + 65798*Sqrt[2])/223^2, 10, 100][[1]] (* G. C. Greubel, May 19 2018 *)

PARI

(105507+65798*sqrt(2))/223^2 \\ G. C. Greubel, May 19 2018

Formula

Equals (394 + 167*sqrt(2))/(394 - 167*sqrt(2)).

Equals (3 + 2*sqrt(2))*(15 - sqrt(2))^2/(15 + sqrt(2))^2.