A160390 Decimal expansion of sqrt(3) - 1.

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

Offset: 0

Author

Harry J. Smith, May 31 2009

Keywords

• nonn
• cons

Comments

Continued fraction expansion leads to the ternary digital root of n.

Examples

			0.732050807568877293527446341505872366942805253810380628055806979451933...
		

Links

• Harry J. Smith, Table of n, a(n) for n = 0..20000
• Index entries for algebraic numbers, degree 2

Crossrefs

Cf. A002194, A134451 (continued fraction).

Programs

Magma

SetDefaultRealField(RealField(100)); Sqrt(3) -1; // G. C. Greubel, Nov 20 2018

Mathematica

RealDigits[Sqrt[3]-1,10,120][[1]] (* Harvey P. Dale, Dec 16 2016 *)

PARI

default(realprecision, 20080); x=10*(sqrt(3)-1); for (n=0, 20000, d=floor(x); x=(x-d)*10; write("b160390.txt", n, " ", d));

Sage

numerical_approx(sqrt(3) -1, digits=100) # G. C. Greubel, Nov 20 2018