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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 non-convex 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 (list; constant; graph; refs; listen; history; text; internal format)
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

Jean-Fran├žois Alcover, Sep 05 2014

STATUS

approved

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Last modified August 22 20:47 EDT 2019. Contains 326209 sequences. (Running on oeis4.)