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A086058 Decimal expansion of conjectured value of delta related to the Masser-Gramain constant. 5
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 (list; constant; graph; refs; listen; history; text; internal format)
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

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

Sequence in context: A072691 A021928 A185111 * A241017 A013662 A222225

Adjacent sequences:  A086055 A086056 A086057 * A086059 A086060 A086061

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Jul 07 2003

STATUS

approved

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Last modified December 2 13:12 EST 2016. Contains 278678 sequences.