%I #18 Sep 08 2022 08:46:20

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

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

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

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

%H Clark Kimberling, <a href="/A298740/b298740.txt">Table of n, a(n) for n = 1..10000</a>

%e constant = 1.7900440156727579847... = positive zero of x^2 - x - sqrt(2).

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

%t RealDigits[N[r, 100], 10][[1]]; (* A298740 *)

%o (PARI) (1/2)*(1 + sqrt(1 + 4*sqrt(2))) \\ _Altug Alkan_, Apr 12 2018

%o (Magma) SetDefaultRealField(RealField(100)); (1/2)*(1 + Sqrt(1 + 4*Sqrt(2))); // _G. C. Greubel_, Aug 20 2018

%Y Cf. A190179, A298742.

%K nonn,easy,cons

%O 1,2

%A _Clark Kimberling_, Feb 13 2018