A157122 Decimal expansion of 11 - 3*sqrt(2).

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

Offset: 1

Author

Klaus Brockhaus, Feb 25 2009

Keywords

• cons
• nonn

Comments

lim_{n -> infinity} b(n)/b(n-1) = (11+3*sqrt(2))/(11-3*sqrt(2)) for n mod 3 = {1, 2}, b = A157119.

lim_{n -> infinity} b(n)/b(n-1) = (11+3*sqrt(2))/(11-3*sqrt(2)) for n mod 3 = {0, 2}, b = A157120.

Examples

			11 - 3*sqrt(2) = 6.75735931288071485359...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000
• Index entries for algebraic numbers, degree 2.

Crossrefs

Cf. A157119, A157120, A157121 (decimal expansion of 11+3*sqrt(2)), A157123 (decimal expansion of (11+3*sqrt(2))/(11-3*sqrt(2))).

Programs

Magma

11-3*Sqrt(2) // G. C. Greubel, Jan 27 2018

Mathematica

RealDigits[11 - 3*Sqrt[2], 10, 50][[1]] (* G. C. Greubel, Jan 27 2018 *)

PARI

11-sqrt(18) \\ Charles R Greathouse IV, May 07 2015