A309207 Continued fraction expansion of (3 tanh (3 tanh (3 tanh (...)))).

2, 1, 64, 2, 1, 1, 1, 3, 4, 1, 2, 3, 1, 272213, 1, 2, 1, 16, 110, 4, 4, 4, 1, 1, 1, 4, 1, 1, 916, 21, 11, 6, 2, 2, 2, 1, 2, 16, 3, 1, 1, 2, 2, 9, 1, 2, 8, 2, 4, 3, 2, 2, 1, 9, 6, 5, 3, 1, 4, 2, 12, 17, 1, 3, 1, 3, 1, 1, 3, 1, 7, 1, 1, 2, 8, 2, 1, 1, 5, 11, 90, 1

Offset

0,1

Comments

This is the continued fraction expansion of the constant defined in A309211.

Links

Table of n, a(n) for n=0..81.

W. M. Gosper, Material from Bill Gosper's Computers & Math talk, M.I.T., 1989, i+38+1 pages, annotated and scanned, included with the author's permission. (There are many blank pages because about half of the original pages were two-sided, half were one-sided.)

Mathematica

ContinuedFraction[Reduce[x == 3 Tanh@x, x, Reals][[3, 2]], 33] (* Bill Gosper, Jul 30 2019 *)

Crossrefs

Cf. A309208, A309211.

Sequence in context: A353586 A363381 A221194 * A104024 A339144 A233472

Adjacent sequences: A309204 A309205 A309206 * A309208 A309209 A309210

Keyword

nonn,cofr

Author

N. J. A. Sloane, Jul 29 2019

Extensions

More terms from Daniel Suteu, Jul 30 2019

Status

approved