

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
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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 doubleinequality, Elemente der Mathematik 65 (2010), 4548, 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



