A242914 Decimal expansion of the trace of the Ruelle-Mayer linear operator G_2.

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

Offset

0,1

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Sections 2.17.1 Ruelle-Mayer Operators, p. 153.

Links

Table of n, a(n) for n=0..103.

Formula

Equals 1/2 - 1/(2*sqrt(5)) + (1/2)*Sum_{k>0} (-1)^(k-1)*binomial(2*k,k)*(zeta(2*k)-1).

Example

0.7711255236556589093173177632777...

Mathematica

NIntegrate[BesselJ[1, 2*x]/(Exp[x]-1), {x, 0, Infinity}, WorkingPrecision -> 140] // RealDigits[#, 10, 80]& // First

Crossrefs

Cf. A007515, A038517.

Sequence in context: A278717 A241009 A278657 * A046542 A172351 A140136

Adjacent sequences: A242911 A242912 A242913 * A242915 A242916 A242917

Keyword

nonn,cons

Author

Jean-François Alcover, May 26 2014

Status

approved