login
A298740
Decimal expansion of (1/2)(1 + sqrt(1 + 4*sqrt(2))).
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
1,2
COMMENTS
Positive zero of x^2 - x - sqrt(2).
FORMULA
Minimal polynomial: x^4 - 2*x^3 + x^2 - 2. - Amiram Eldar, May 28 2026
EXAMPLE
1.7900440156727579847...
MATHEMATICA
r = (1/2)*(1 + Sqrt[1 + 4*Sqrt[2]]);
RealDigits[N[r, 100], 10][[1]]
PROG
(PARI) (1/2)*(1 + sqrt(1 + 4*sqrt(2))) \\ Altug Alkan, Apr 12 2018
(Magma) SetDefaultRealField(RealField(100)); (1/2)*(1 + Sqrt(1 + 4*Sqrt(2))); // G. C. Greubel, Aug 20 2018
CROSSREFS
Sequence in context: A328110 A382807 A382003 * A202283 A322092 A104757
KEYWORD
nonn,easy,cons
AUTHOR
Clark Kimberling, Feb 13 2018
STATUS
approved