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A254666
Decimal expansion of the right Alzer's constant.
0
9, 3, 0, 1, 0, 4, 3, 1, 6, 3, 0, 3, 6, 1, 6, 6, 8, 2, 2, 9, 9, 4, 5, 3, 0, 6, 2, 4, 0, 7, 2, 6, 1, 6, 0, 0, 3, 3, 3, 5, 3, 3, 2, 0, 5, 8, 0, 7, 3, 4, 6, 3, 8, 5, 4, 8, 0, 8, 2, 8, 9, 4, 4, 1, 0, 5, 1, 3, 6, 4, 6, 5, 2, 2, 8, 6, 7, 5, 8, 3, 4, 8, 3, 8, 8, 3, 1, 7, 4, 4, 3, 8, 0, 7, 7, 3, 2, 4, 3, 6, 8, 9, 9, 9, 7, 8, 4
OFFSET
0,1
COMMENTS
The right Alzer's constant x is defined to be the best constant in the right Alzer's inequality: abs(cos a + sin a) <= x*abs(cos(cos a) + cos(sin a)), where a is any real number.
LINKS
Horst Alzer, A trigonometric double-inequality, Elemente der Mathematik 65 (2010), 45-48.
FORMULA
Equals (sqrt(2)*cos(1/sqrt(2)))^(-1).
EXAMPLE
0.9301043163036166822994530624072616003335332058073463854808289441...
MATHEMATICA
RealDigits[1/(Sqrt[2]*Cos[1/Sqrt[2]]), 10, 120][[1]] (* Amiram Eldar, Jun 12 2023 *)
PROG
(PARI) 1/(sqrt(2)*cos(1/sqrt(2))) \\ Michel Marcus, Feb 05 2015
CROSSREFS
Cf. A254615.
Sequence in context: A294685 A200238 A368982 * A094127 A198924 A199605
KEYWORD
nonn,cons
AUTHOR
Roman Witula, Feb 04 2015
EXTENSIONS
a(99) corrected by Georg Fischer, Aug 12 2021
STATUS
approved