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

Author

Jean-François Alcover, Apr 04 2014

Keywords

• nonn
• cons

Examples

			1.508879561538319928909884488160578573694278589...
		

Links

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

Crossrefs

Cf. A033259.

Programs

Mathematica

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

Formula

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

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