

A246856


Decimal expansion of 'alpha', the threshold angle associated with the best constant in [a variation of] Hardy's inequality for a domain defined as a nonconvex plane sector of angle alpha.


0



4, 8, 5, 6, 0, 5, 5, 3, 2, 0, 9, 3, 1, 6, 6, 2, 0, 3, 8, 6, 2, 6, 4, 3, 5, 3, 4, 8, 9, 0, 5, 2, 9, 3, 9, 8, 5, 5, 1, 9, 5, 3, 7, 8, 3, 1, 0, 2, 0, 8, 8, 0, 2, 5, 8, 3, 8, 3, 4, 6, 2, 1, 2, 4, 3, 6, 0, 6, 2, 2, 7, 9, 0, 2, 3, 6, 5, 5, 0, 5, 9, 2, 8, 0, 6, 9, 8, 2, 6, 2, 7, 2, 6, 5, 7, 8, 9, 6, 2, 4, 2, 9
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..102.
Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 30.
Steven R. Finch, Errata and Addenda to Mathematical Constants, January 22, 2016. [Cached copy, with permission of the author]


FORMULA

alpha = Pi + 4*arctan(4*Gamma(3/4)^2/Gamma(1/4)^2).


EXAMPLE

4.85605532093166203862643534890529398551953783102088...


MATHEMATICA

alpha = Pi + 4*ArcTan[4*Gamma[3/4]^2/Gamma[1/4]^2]; RealDigits[alpha, 10, 102] // First


PROG

(PARI) Pi + 4*atan(4*gamma(3/4)^2/gamma(1/4)^2) \\ Michel Marcus, Sep 05 2014


CROSSREFS

Cf. A068465, A068466.
Sequence in context: A021210 A197849 A292466 * A113969 A155782 A200695
Adjacent sequences: A246853 A246854 A246855 * A246857 A246858 A246859


KEYWORD

nonn,cons,easy


AUTHOR

JeanFrançois Alcover, Sep 05 2014


STATUS

approved



