login
This site is supported by donations to The OEIS Foundation.

 

Logo

The submissions stack has been unacceptably high for several months now. Please voluntarily restrict your submissions and please help with the editing. (We don't want to have to impose further limits.)

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified August 28 05:09 EDT 2015. Contains 261118 sequences.