A159752 Decimal expansion of (3267 + 1702*sqrt(2))/47^2.

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

Offset: 1

Author

Klaus Brockhaus, Apr 30 2009

Keywords

• cons
• nonn

Comments

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 0, b = A118675.

Equals lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = 1, b = A159750.

Examples

			(3267 + 1702*sqrt(2))/47^2 = 2.56857921374332628929...
		

Links

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

Crossrefs

Cf. A118675, A159750, A002193 (decimal expansion of sqrt(2)), A159751 (decimal expansion of (51+14*sqrt(2))/47).

Programs

Magma

(3267 +1702*Sqrt(2))/47^2; // G. C. Greubel, May 22 2018

Mathematica

RealDigits[(3267 +1702*Sqrt[2])/47^2, 10, 100][[1]] (* G. C. Greubel, May 22 2018 *)

PARI

(3267 +1702*sqrt(2))/47^2 \\ G. C. Greubel, May 22 2018

Formula

Equals (74 + 23*sqrt(2))/(74 - 23*sqrt(2)).

Equals (3 + 2*sqrt(2))*(7 - sqrt(2))^2/(7 + sqrt(2))^2.