A093601 Decimal expansion of constant in Kac's formula.

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

Offset

0,1

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.15 Glaisher-Kinkelin constant, p. 141.

Links

Table of n, a(n) for n=0..101.

Eric Weisstein's World of Mathematics, Kac's Formula

Example

0.625735807...

Mathematica

(2/Pi)*(Log[2] + NIntegrate[Sqrt[1/x^2 - 4*(Exp[ -2*x]/(1 - Exp[ -2*x])^2)] - 1/(x + 1), {x, 0, Infinity}, WorkingPrecision -> 50, PrecisionGoal -> 20])

Crossrefs

Sequence in context: A010371 A270614 A011489 * A297981 A193780 A220260

Adjacent sequences: A093598 A093599 A093600 * A093602 A093603 A093604

Keyword

nonn,cons

Author

Eric W. Weisstein, Apr 03 2004

Status

approved