A159751 Decimal expansion of (51 + 14*sqrt(2))/47.

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

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 = {1, 2}, b = A118675.

Equals Lim_{n -> infinity} b(n)/b(n-1) for n mod 3 = {0, 2}. b = A159750.

Examples

			(51 + 14*sqrt(2))/47 = 1.50636148666432618474...
		

Links

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

Crossrefs

Cf. A118675, A159750, A002193 (decimal expansion of sqrt(2)), A159752 (decimal expansion of (3267+1702*sqrt(2))/47^2).

Programs

Magma

(51 +14*Sqrt(2))/47; // G. C. Greubel, May 22 2018

Mathematica

RealDigits[(51 +14*Sqrt[2])/47, 10, 100][[1]] (* G. C. Greubel, May 22 2018 *)

PARI

(51 +14*sqrt(2))/47 \\ G. C. Greubel, May 22 2018

Formula

Equals (7 + sqrt(2))/(7 - sqrt(2)).