A240358 Decimal expansion of 'c', a constant linked to an estimate of density of zeros of an entire function of exponential type.

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

Offset

1,2

Links

Table of n, a(n) for n=1..100.

Alexandre Eremenko and Peter Yuditskii, An extremal problem for a class of entire functions

Formula

Solution to log(c + Sqrt(c^2 + 1)) = sqrt(1 + 1/c^2).

Example

1.5088795615383199289...

Mathematica

FindRoot[Log[c + Sqrt[c^2 + 1]] == Sqrt[1 + 1/c^2], {c, 3/2}, WorkingPrecision -> 100][[1, 2]] // RealDigits[#, 10, 100]& // First

Crossrefs

Sequence in context: A011441 A294518 A199729 * A200422 A141431 A166011

Adjacent sequences: A240355 A240356 A240357 * A240359 A240360 A240361

Keyword

nonn,cons

Author

Jean-François Alcover, Apr 04 2014

Status

approved