A176518 Decimal expansion of 3*(15+7*sqrt(5))/10.

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

Offset: 1

Author

Klaus Brockhaus, Apr 23 2010

Keywords

• cons
• nonn

Comments

Continued fraction expansion of (45+21*sqrt(5))/10 is A010720 preceded by 9.

Quadratic number with denominator 5 and minimal polynomial 5x^2 - 45x - 9. - Charles R Greathouse IV, Apr 25 2016

Examples

			(45+21*sqrt(5))/10 = 9.19574275274955836245...
		

Crossrefs

Cf. A002163 (decimal expansion of sqrt(5)), A010720(repeat 5, 9).

Programs

Mathematica

RealDigits[(45+21*Sqrt[5])/10,10,120][[1]] (* Harvey P. Dale, Aug 24 2012 *)

PARI

(21*sqrt(5)+45)/10 \\ Charles R Greathouse IV, Apr 25 2016