A161481 Decimal expansion of (16131 + 6970*sqrt(2))/113^2.

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

Offset: 1

Author

Klaus Brockhaus, Jun 13 2009

Keywords

• cons
• nonn

Comments

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A161478.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A161479.

Examples

			(16131+6970*sqrt(2))/113^2 = 2.03524696763571716580...
		

Links

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

Crossrefs

Cf. A161478, A161479, A002193 (decimal expansion of sqrt(2)), A161480 (decimal expansion of (129+44*sqrt(2))/113).

Programs

Magma

(16131 + 6970*Sqrt(2))/113^2; // G. C. Greubel, Apr 07 2018

Maple

with(MmaTranslator[Mma]): Digits:=150:
RealDigits(evalf((16131+6970*sqrt(2))/113^2))[1]; # Muniru A Asiru, Apr 08 2018

Mathematica

RealDigits[(16131+6970Sqrt[2])/113^2,10,120][[1]] (* Harvey P. Dale, Sep 02 2015 *)

PARI

(16131 + 6970*sqrt(2))/113^2 \\ G. C. Greubel, Apr 07 2018

Formula

Equals (170 +41*sqrt(2))/(170 -41*sqrt(2)).

Equals (3 +2*sqrt(2))*(11 -2*sqrt(2))^2/(11 +2*sqrt(2))^2.