A159898 Decimal expansion of (1760979+1141390*sqrt(2))/839^2.

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

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 = A130647.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A159896.

Examples

			(1760979+1141390*sqrt(2))/839^2 = 4.79478267867704892701...
		

Links

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

Crossrefs

Cf. A130647, A159896, A002193 (decimal expansion of sqrt(2)), A159897 (decimal expansion of (843+58*sqrt(2))/839).

Programs

Magma

(1760979 +1141390*Sqrt(2))/839^2; // G. C. Greubel, May 16 2018

Mathematica

RealDigits[(1760979 +1141390*Sqrt[2])/839^2, 10, 100][[1]] (* G. C. Greubel, May 16 2018 *)

PARI

(1760979 +1141390*sqrt(2))/839^2 \\ G. C. Greubel, May 16 2018

Formula

Equals (1570 +727*sqrt(2))/(1570 -727*sqrt(2)).

Equals (3 +2*sqrt(2))*(29 -sqrt(2))^2/(29 +sqrt(2))^2.