A359809 Decimal expansion of the positive solution to tanh(x) = x/2.

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

Offset

1,2

Comments

Also, point where e^-(x/2 - 1)^2 + e^-(x/2 + 1)^2 has its maximum.

Links

Table of n, a(n) for n=1..94.

Example

1.91500804815453748135300306100481565...

Mathematica

RealDigits[x /. FindRoot[Tanh[x] == x/2, {x, 2}, WorkingPrecision -> 110], 10, 105][[1]] (* Amiram Eldar, Jan 13 2023 *)

Prog

(PARI) localprec(199); digits(solve(x=1, 2, tanh(x)-x/2)\.1^150)

Crossrefs

Cf. A309211.

Sequence in context: A178745 A114893 A089101 * A298512 A192930 A010168

Adjacent sequences: A359806 A359807 A359808 * A359810 A359811 A359812

Keyword

nonn,cons

Author

M. F. Hasler, Jan 13 2023

Status

approved