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).

Equals 1/A033259. - Robert FERREOL, Jun 16 2025

Example

1.508879561538319928909884488160578573694278589...

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

Cf. A033259.

Sequence in context: A382627 A199729 A394966 * A200422 A141431 A166011

Adjacent sequences: A240355 A240356 A240357 * A240359 A240360 A240361

Keyword

nonn,cons

Author

Jean-François Alcover, Apr 04 2014

Status

approved