A086058 Decimal expansion of conjectured value of delta related to the Masser-Gramain constant.

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

Offset

1,2

Comments

Numerical work by Melquiond et al. (see reference) disproves Gramain's conjecture, correct bounds for the Masser-Gramain constant delta are: 1.819776 < delta < 1.819833. - Vaclav Kotesovec, Apr 27 2015

References

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 7.2, p. 460.

Links

Table of n, a(n) for n=1..102.

Guillaume Melquiond, W. Georg Nowak, Paul Zimmermann, Numerical approximation of the Masser-Gramain constant to four decimal places, Mathematics of Computation, Volume 82, Number 282, April 2013, Pages 1235-1246.

Eric Weisstein's World of Mathematics, Masser-Gramain Constant.

Formula

Equals 1 + A241017.

Equals 1 + A062089/Pi.

Example

1.82282524967884703299532871626146494947569311889485021839381561303709...

Mathematica

RealDigits[ 1 + 2*EulerGamma + 2*Log[2] + 3*Log[Pi] - 4*Log[Gamma[1/4]], 10, 102] // First (* Jean-François Alcover, Feb 07 2013, after Eric W. Weisstein *)

Prog

(PARI) 1+2*Euler+2*log(2)+3*log(Pi)-4*lngamma(1/4) \\ Charles R Greathouse IV, Dec 08 2014

Crossrefs

Cf. A062089, A241017.

Sequence in context: A021928 A185111 A319188 * A241017 A114314 A013662

Adjacent sequences: A086055 A086056 A086057 * A086059 A086060 A086061

Keyword

nonn,cons

Author

Eric W. Weisstein, Jul 07 2003

Status

approved