A309211 Decimal expansion of a solution to x = 3*tanh(x).

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

Offset

1,1

Links

Table of n, a(n) for n=1..106.

Example

2.9847045853578868155597912346...

Maple

Digits := 120 ; fsolve(x=3*tanh(x), x, 0..10.) ; # R. J. Mathar, Jul 30, 2019

Mathematica

RealDigits[x/.FindRoot[x==3Tanh[x], {x, 3}, WorkingPrecision->120]][[1]] (* Harvey P. Dale, Jul 30 2019 *)

Prog

(PARI) A309211_first(n)={localprec(n\.9+9); digits(solve(x=2.9, 3, tanh(x)*3-x)\10^(1-n)) \\ M. F. Hasler, Jan 27 2023

Crossrefs

Cf. A309207 (continued fraction expansion), A309208.

Sequence in context: A125124 A011446 A255189 * A021339 A092971 A274195

Adjacent sequences: A309208 A309209 A309210 * A309212 A309213 A309214

Keyword

nonn,cons

Author

N. J. A. Sloane, Jul 30 2019

Extensions

More terms from Daniel Suteu, Jul 30 2019

Status

approved