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A254666 The decimal expansion of right Alzer's constant x. 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, 7 (list; constant; graph; refs; listen; history; text; internal format)
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.

REFERENCES

H. Alzer, A trigonometric double-inequality, Elemente der Mathematik 65 (2010), 45-48, doi: 10.4171/EM/139.

LINKS

Table of n, a(n) for n=0..99.

FORMULA

x = (sqrt(2)*cos(1/sqrt(2)))^(-1).

EXAMPLE

x = 0.9301043163036166822994530624072616003335332058073463854808289441...

PROG

(PARI) 1/(sqrt(2)*cos(1/sqrt(2))) \\ Michel Marcus, Feb 05 2015

CROSSREFS

Cf. A254615.

Sequence in context: A038292 A294685 A200238 * A094127 A198924 A199605

Adjacent sequences:  A254663 A254664 A254665 * A254667 A254668 A254669

KEYWORD

nonn,cons

AUTHOR

Roman Witula, Feb 04 2015

STATUS

approved

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Last modified May 7 06:57 EDT 2021. Contains 343636 sequences. (Running on oeis4.)