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A298742
Decimal expansion of (1/2)(1 + sqrt(5 + 4*sqrt(2))).
2
2, 1, 3, 2, 2, 4, 1, 8, 8, 2, 3, 1, 1, 9, 0, 0, 1, 9, 5, 6, 5, 5, 0, 7, 2, 3, 3, 8, 1, 5, 7, 3, 0, 0, 6, 5, 7, 0, 8, 4, 7, 8, 6, 1, 8, 6, 0, 9, 5, 8, 3, 2, 9, 8, 4, 1, 4, 2, 1, 7, 7, 7, 5, 4, 1, 6, 5, 9, 9, 4, 3, 3, 7, 4, 2, 5, 9, 5, 9, 6, 2, 5, 8, 3, 9, 2
OFFSET
1,1
COMMENTS
Positive zero of x^2 - x - 1 - sqrt(2).
LINKS
EXAMPLE
2.1322418823119001957...
MATHEMATICA
r = (1/2)*(1 + Sqrt[5 + 4*Sqrt[2]])
RealDigits[N[r, 100], 10][[1]]; (* A298742 *)
PROG
(PARI) (1/2)*(1 + sqrt(5 + 4*sqrt(2))) \\ Altug Alkan, Apr 12 2018
(Magma) SetDefaultRealField(RealField(100)); (1/2)*(1 + Sqrt(5 + 4*Sqrt(2))); // G. C. Greubel, Aug 20 2018
CROSSREFS
Sequence in context: A367858 A363718 A200649 * A086415 A069013 A029281
KEYWORD
nonn,easy,cons
AUTHOR
Clark Kimberling, Feb 13 2018
STATUS
approved