A160091 Decimal expansion of (587+102*sqrt(2))/569.

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

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 = A101152.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160090.

Examples

			(587+102*sqrt(2))/569 = 1.28514900415124023721...
		

Links

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

Crossrefs

Cf. A101152, A160090, A002193 (decimal expansion of sqrt(2)), A160092 (decimal expansion of (617139+371510*sqrt(2))/569^2).

Programs

Magma

(587+102*Sqrt(2))/569; // G. C. Greubel, Apr 15 2018

Mathematica

RealDigits[(587+102*Sqrt[2])/569, 10, 100][[1]] (* G. C. Greubel, Apr 15 2018 *)

PARI

(587+102*sqrt(2))/569 \\ G. C. Greubel, Apr 15 2018

Formula

Equals (34+3*sqrt(2))/(34-3*sqrt(2)).