A298740 Decimal expansion of (1/2)(1 + sqrt(1 + 4*sqrt(2))).

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

Offset: 1

Author

Clark Kimberling, Feb 13 2018

Keywords

• nonn
• easy
• cons

Examples

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

Links

• Clark Kimberling, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A190179, A298742.

Programs

Magma

SetDefaultRealField(RealField(100)); (1/2)*(1 + Sqrt(1 + 4*Sqrt(2))); // G. C. Greubel, Aug 20 2018

Mathematica

r = (1/2)*(1 + Sqrt[1 + 4*Sqrt[2]])
RealDigits[N[r, 100], 10][[1]];  (* A298740 *)

PARI

(1/2)*(1 + sqrt(1 + 4*sqrt(2))) \\ Altug Alkan, Apr 12 2018