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

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A033259 Decimal expansion of Laplace's limit constant. 10
6, 6, 2, 7, 4, 3, 4, 1, 9, 3, 4, 9, 1, 8, 1, 5, 8, 0, 9, 7, 4, 7, 4, 2, 0, 9, 7, 1, 0, 9, 2, 5, 2, 9, 0, 7, 0, 5, 6, 2, 3, 3, 5, 4, 9, 1, 1, 5, 0, 2, 2, 4, 1, 7, 5, 2, 0, 3, 9, 2, 5, 3, 4, 9, 9, 0, 9, 7, 1, 8, 5, 3, 0, 8, 6, 5, 1, 1, 2, 7, 7, 2, 4, 9, 6, 5, 4, 8, 0, 2, 5, 9, 8, 9, 5, 8, 1, 8, 1, 6, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Maximum value taken by the function x/cosh(x), which occurs at A085984. - Hrothgar, Mar 12 2014

REFERENCES

S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 266-268.

J. J. Green, The Lipschitz constant for the radial projection on real l_p - implementation notes, http://soliton.vm.bytemark.co.uk/pub/jjg/code/lcrp-inote.pdf, 2012. - From N. J. A. Sloane, Sep 19 2012

LINKS

Table of n, a(n) for n=0..100.

S. R. Finch, Laplace Limit Constant

Simon Plouffe, The laplace limit constant(to 500 digits)

Eric Weisstein's World of Mathematics, Laplace Limit.

Eric Weisstein's World of Mathematics, Kepler's Equation

FORMULA

Equals sqrt(A085984^2-1). [Jean-Fran├žois Alcover, May 14 2013]

EXAMPLE

0.662743419349181580974742097109252907056233549115022417520392534990971853086...

MATHEMATICA

x/.FindRoot[ x Exp[ Sqrt[ 1+x^2 ] ]/(1+Sqrt[ 1+x^2 ])==1, {x, 1} ]

PROG

(PARI) sqrt(solve(u=1, 2, tanh(u)-1/u)^2-1)   \\ M. F. Hasler, Feb 01 2011

CROSSREFS

Cf. A033259 - A033263, A085984.

Sequence in context: A218387 A178857 A003676 * A212298 A064926 A154006

Adjacent sequences:  A033256 A033257 A033258 * A033260 A033261 A033262

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein

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 November 27 15:41 EST 2014. Contains 250224 sequences.