A160207 Decimal expansion of (907+210*sqrt(2))/857.

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

Offset: 1

Author

Klaus Brockhaus, May 18 2009

Keywords

• cons
• nonn

Comments

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129857.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160206.

Examples

			(907+210*sqrt(2))/857 = 1.40488313663751453937...
		

Links

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

Crossrefs

Cf. A129857, A160206, A002193 (decimal expansion of sqrt(2)), A160208 (decimal expansion of (1208787+678878*sqrt(2))/857^2).

Programs

Magma

(907+210*Sqrt(2))/857; // G. C. Greubel, Apr 25 2018

Mathematica

RealDigits[(907+210Sqrt[2])/857,10,150][[1]]  (* Harvey P. Dale, Mar 20 2011 *)

PARI

(907+210*sqrt(2))/857 \\ G. C. Greubel, Apr 25 2018

Formula

Equals (42+5*sqrt(2))/(42-5*sqrt(2)).