A248914 Decimal expansion of L = integral_{0..1} 1/(1-2t^2/3) dt, an auxiliary constant associated with one of the integral inequalities studied by David Boyd.

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

Offset

1,2

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 3.6 Sobolev Isoperimetric Constants.

Links

Table of n, a(n) for n=1..101.

David W. Boyd, Best constants in a class of integral inequalities, Pacific J. Math. Volume 30, Number 2 (1969), 367-383

Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 31.

Formula

L = sqrt(3/2]*arctanh(sqrt(2/3)).

K = A246859 = 2/(L+1)^2.

Example

1.40382196515535516573036373889961027748003532830665702207...

Mathematica

RealDigits[Sqrt[3/2]*ArcTanh[Sqrt[2/3]], 10, 101] // First

Crossrefs

Cf. A242440, A244263, A244347, A244354, A245292, A246859.

Sequence in context: A352718 A338736 A281531 * A246686 A048649 A200008

Adjacent sequences: A248911 A248912 A248913 * A248915 A248916 A248917

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Oct 16 2014

Status

approved