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A319568 Given the two curves y = exp(-x) and y = 2/(exp(x) + exp(x/2)), draw a line tangent to both. This sequence is the decimal expansion of the (negated) x-coordinate of the point at which the line touches y = 2/(exp(x) + exp(x/2)). 1
2, 0, 0, 8, 1, 1, 0, 6, 5, 8, 6, 1, 8, 2, 1, 6, 4, 9, 9, 8, 3, 8, 3, 3, 5, 6, 3, 6, 2, 8, 0, 3, 0, 1, 5, 7, 7, 2, 3, 6, 4, 7, 4, 9, 6, 5, 8, 6, 3, 6, 8, 3, 1, 3, 3, 8, 7, 0, 3, 5, 2, 8, 5, 8, 4, 4, 9, 2, 7, 9, 0, 8, 2, 7, 9, 5, 1, 1, 6, 3, 9, 3, 8, 9, 8, 6, 0, 5, 6, 8, 2, 0, 0, 2, 8, 5, 0, 3, 6, 3, 5, 1, 8, 9, 6, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..105.

Eric Weisstein's MathWorld, Shapiro's Cyclic Sum Constant

FORMULA

b = -0.2008110658618... .

c =  0.1551949747226... (A319569).

exp(c) = (1 + exp(b/2))^2/(2 + exp(-b/2)).

EXAMPLE

-0.2008110658618...

CROSSREFS

Cf. A245330, A319569.

Sequence in context: A160213 A192058 A021502 * A028698 A013667 A091933

Adjacent sequences:  A319565 A319566 A319567 * A319569 A319570 A319571

KEYWORD

nonn,cons

AUTHOR

Seiichi Manyama, Sep 23 2018

EXTENSIONS

More terms from Vaclav Kotesovec, Sep 26 2018

STATUS

approved

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Last modified October 21 11:37 EDT 2019. Contains 328296 sequences. (Running on oeis4.)