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
KEYWORD
nonn,cons
AUTHOR
Roman Witula, Feb 04 2015
EXTENSIONS
a(99) corrected by Georg Fischer, Aug 12 2021
STATUS
approved