

A242617


Decimal expansion of KuijlaarsSaff constant, a constant related to Tammes' constants, Thomson's electron problem and Fekete points.


4



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

0,1


REFERENCES

S. R. Finch, Mathematical Constants, Cambridge, 2003, Section 8.8 p. 509.


LINKS

Table of n, a(n) for n=0..99.
A. B. J. Kuijlaars and E. B. Saff, Asymptotics for minimal discrete energy on the sphere
Eric Weisstein's MathWorld, Thomson Problem
Wikipedia, Thomson problem


FORMULA

sqrt(3)*sqrt(sqrt(3)/(8*Pi))*zeta(1/2)*(zeta(1/2, 1/3)  zeta(1/2, 2/3)).


EXAMPLE

0.5530512933575951867799510370871247745508...


MATHEMATICA

c = Sqrt[3]*Sqrt[Sqrt[3]/(8*Pi)]*Zeta[1/2]*(Zeta[1/2, 1/3]  Zeta[1/2, 2/3]); RealDigits[c, 10, 100] // First


PROG

(PARI) sqrt(sqrt(27)/8/Pi)*zeta(1/2)*(zetahurwitz(1/2, 1/3)  zetahurwitz(1/2, 2/3)) \\ Charles R Greathouse IV, Jan 31 2018


CROSSREFS

Cf. A059750, A080865, A242088.
Sequence in context: A287746 A128006 A157703 * A158349 A320478 A225302
Adjacent sequences: A242614 A242615 A242616 * A242618 A242619 A242620


KEYWORD

nonn,cons


AUTHOR

JeanFrançois Alcover, May 19 2014


STATUS

approved



