A159590 Decimal expansion of (451+30*sqrt(2))/449.

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

Offset: 1

Author

Klaus Brockhaus, Apr 17 2009

Keywords

• cons
• nonn

Comments

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {1, 2}, b = A130004.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}, b = A159589.

Examples

			(451+30*sqrt(2))/449 = 1.09894522688461659568...
		

Links

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

Crossrefs

Cf. A130004, A159589, A002193 (decimal expansion of sqrt(2)), A159591 (decimal expansion of (507363+329222*sqrt(2))/449^2).

Programs

Magma

(451+30*Sqrt(2))/449; // G. C. Greubel, May 05 2018

Mathematica

RealDigits[(451+30*Sqrt[2])/449, 10, 100][[1]] (* G. C. Greubel, May 05 2018 *)

PARI

(451+30*sqrt(2))/449 \\ G. C. Greubel, May 05 2018

Formula

Equals (30+sqrt(2))/(30-sqrt(2)).