A160042 Decimal expansion of (89+36*sqrt(2))/73.

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

Offset: 1

Author

Klaus Brockhaus, May 04 2009

Keywords

• cons
• nonn

Comments

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129289.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160041.

Examples

			(89+36*sqrt(2))/73 = 1.91659846911549892817...
		

Links

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

Crossrefs

Cf. A129289, A160041, A002193 (decimal expansion of sqrt(2)), A160043 (decimal expansion of (5907+1802*sqrt(2))/73^2).

Programs

Magma

(89+36*Sqrt(2))/73; // G. C. Greubel, Apr 15 2018

Mathematica

RealDigits[(89+36Sqrt[2])/73,10,120][[1]] (* Harvey P. Dale, Jun 19 2011 *)

PARI

(89+36*sqrt(2))/73 \\ G. C. Greubel, Apr 15 2018

Formula

Equals (9+2*sqrt(2))/(9-2*sqrt(2)).