A159897 Decimal expansion of (843+58*sqrt(2))/839.

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

Offset: 1

Author

Klaus Brockhaus, Apr 30 2009

Keywords

• cons
• nonn

Comments

lim_{n -> infinity} b(n)/b(n-1) = (843+58*sqrt(2))/839 for n mod 3 = {1, 2}, b = A130647.

lim_{n -> infinity} b(n)/b(n-1) = (843+58*sqrt(2))/839 for n mod 3 = {0, 2}, b = A159896.

Examples

			(843+58*sqrt(2))/839 = 1.10253204602817581982...
		

Links

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

Crossrefs

Cf. A130647, A159896, A002193 (decimal expansion of sqrt(2)), A159898 (decimal expansion of (1760979+1141390*sqrt(2))/839^2).

Programs

Magma

(843 +58*Sqrt(2))/839; // G. C. Greubel, May 17 2018

Mathematica

RealDigits[(843+58*Sqrt[2])/839, 10, 100][[1]] (* G. C. Greubel, May 17 2018 *)

PARI

(843 +58*sqrt(2))/839 \\ G. C. Greubel, May 17 2018

Formula

Equals (29 +sqrt(2))/(29 -sqrt(2)).