A329937 Decimal expansion of solution of csch x + sech x = 1.

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

Offset

1,2

Links

Table of n, a(n) for n=1..86.

Formula

Exact value: x = arcsech[1/8 (4 - 4 sqrt(2) - 9 sqrt(5 + 4 sqrt(2)) + (5 + 4 sqrt(2))^(3/2)))

Example

x = 1.3901482723111926878385795316101750496233667106...

Mathematica

Solve[1/Sinh[x] + 1/Cosh[x] == 1, x]
Plot[1/Sinh[x] + 1/Cosh[x] - 1, {x, -3, 3}]

Crossrefs

Cf. A329938, A329939 (Beatty sequences).

Sequence in context: A247042 A274400 A200495 * A272535 A016626 A126321

Adjacent sequences: A329934 A329935 A329936 * A329938 A329939 A329940

Keyword

nonn,cons,easy

Author

Clark Kimberling, Jan 02 2020

Status

approved