A159891 Decimal expansion of (443+42*sqrt(2))/439.

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

Offset: 1

Author

Klaus Brockhaus, Apr 30 2009

Keywords

• cons
• nonn

Comments

lim_{n -> infinity} b(n)/b(n-1) = (443+42*sqrt(2))/439 for n mod 3 = {1, 2}, b = A130645.

lim_{n -> infinity} b(n)/b(n-1) = (443+42*sqrt(2))/439 for n mod 3 = {0, 2}, b = A159890.

Examples

			(443+42*sqrt(2))/439 = 1.14441223147988608667...
		

Links

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

Crossrefs

Cf. A130645, A159890, A002193 (decimal expansion of sqrt(2)), A159892 (decimal expansion of (450483+287918*sqrt(2))/439^2).

Programs

Magma

(443 +42*Sqrt(2))/439; // G. C. Greubel, May 17 2018

Mathematica

RealDigits[N[(443+42*Sqrt[2])/439,300]][[1]] (* Vladimir Joseph Stephan Orlovsky, Mar 21 2011*)

PARI

(443 +42*sqrt(2))/439 \\ G. C. Greubel, May 17 2018

Formula

Equals (21 +sqrt(2))/(21 -sqrt(2)).