OFFSET
1,1
LINKS
Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 32.
Eric Weisstein's MathWorld, Laplace Limit.
FORMULA
y'(0) = sqrt(2)*sinh(sqrt(lambda^2 + 1)), where lambda is A033259, the Laplace limit constant 0.66274...
EXAMPLE
2.13387793991506111980724467740185291922896238537964686...
MATHEMATICA
digits = 103; lambda = x /. FindRoot[x*Exp[Sqrt[1 + x^2]]/(1 + Sqrt[1 + x^2]) == 1, {x, 1}, WorkingPrecision -> digits+5]; mu = Sqrt[lambda^2 + 1]; RealDigits[Sqrt[2]*Sinh[mu], 10, digits] // First
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Oct 22 2014
STATUS
approved