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A240358 Decimal expansion of 'c', a constant linked to an estimate of density of zeros of an entire function of exponential type. 0
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 (list; constant; graph; refs; listen; history; text; internal format)
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

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Last modified July 25 21:44 EDT 2021. Contains 346294 sequences. (Running on oeis4.)