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Decimal expansion of (1/2)(1 + sqrt(-3 + 4*sqrt(5))).
4

%I #4 Feb 13 2018 19:18:11

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

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

%U 7,9,1,5,6,5,2,9,6,7,4,3,6,4,5,9,2,8

%N Decimal expansion of (1/2)(1 + sqrt(-3 + 4*sqrt(5))).

%H Clark Kimberling, <a href="/A298751/b298751.txt">Table of n, a(n) for n = 1..10000</a>

%e constant = 1.7190438784144685973... = positive zero of x^2 - x + 1- sqrt(5).

%t r = (1/2)*(1 + Sqrt[-3 + 4 Sqrt[5]])

%t RealDigits[N[r, 100], 10][[1]]; (* A298751 *)

%Y Cf. A298749, A298750, A298752.

%K nonn,easy,cons

%O 1,2

%A _Clark Kimberling_, Feb 13 2018