A176518 - OEIS

%I #8 Apr 25 2016 12:33:05

%S 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,

%T 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,

%U 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

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

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

%C Quadratic number with denominator 5 and minimal polynomial 5x^2 - 45x - 9. - _Charles R Greathouse IV_, Apr 25 2016

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

%t RealDigits[(45+21*Sqrt[5])/10,10,120][[1]] (* _Harvey P. Dale_, Aug 24 2012 *)

%o (PARI) (21*sqrt(5)+45)/10 \\ _Charles R Greathouse IV_, Apr 25 2016

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

%K cons,nonn

%O 1,1

%A _Klaus Brockhaus_, Apr 23 2010