A160581 Decimal expansion of (601+276*sqrt(2))/457.

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

Offset: 1

Author

Klaus Brockhaus, Jun 08 2009

Keywords

• nonn
• cons
• easy

Comments

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A129642.

Equals lim_{n -> oo} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A160580.

Examples

			(601+276*sqrt(2))/457 = 2.16919681228659569686...
		

Links

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

Crossrefs

Cf. A002193, A129642, A160580, A160582.

Programs

Magma

(601 +276*Sqrt(2))/457; // G. C. Greubel, Apr 08 2018

Mathematica

RealDigits[(601 +276*Sqrt[2])/457, 10, 100][[1]] (* G. C. Greubel, Apr 08 2018 *)

PARI

(601 +276*sqrt(2))/457 \\ G. C. Greubel, Apr 08 2018

Formula

Equals (23+6*sqrt(2))/(23-6*sqrt(2)).