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

Author

N. J. A. Sloane, Jul 29 2019

Keywords

• nonn
• cofr

Comments

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

Links

• 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.)

Crossrefs

Cf. A309208, A309211.

Programs

Mathematica

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

Extensions

More terms from Daniel Suteu, Jul 30 2019