A157258 Decimal expansion of 7 + 2*sqrt(2).

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

Offset: 1

Author

Klaus Brockhaus, Feb 26 2009

Keywords

• cons
• nonn

Comments

lim_{n -> infinity} b(n)/b(n-1) = (7+2*sqrt(2))/(7-2*sqrt(2)) for n mod 3 = {1, 2}, b = A129288.

lim_{n -> infinity} b(n)/b(n-1) = (7+2*sqrt(2))/(7-2*sqrt(2)) for n mod 3 = {0, 2}, b = A157257.

Examples

			7 + 2*sqrt(2) = 9.82842712474619009760...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..5000
• Index entries for algebraic numbers, degree 2.

Crossrefs

Cf. A129288, A157257, A157259 (decimal expansion of 7-2*sqrt(2)), A157260 (decimal expansion of (7+2*sqrt(2))/(7-2*sqrt(2))).

Programs

Magma

[7+2*Sqrt(2)]; // G. C. Greubel, Nov 28 2017

Mathematica

RealDigits[7+2Sqrt[2],10,120][[1]]  (* Harvey P. Dale, Mar 20 2011 *)

PARI

7+2*sqrt(2) \\ G. C. Greubel, Nov 28 2017

Formula

Equals 4 + A156035. - R. J. Mathar, Feb 27 2009