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A309207 Continued fraction expansion of (3 tanh (3 tanh (3 tanh (...)))). 2

%I #22 Aug 05 2019 16:41:32

%S 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,

%T 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,

%U 17,1,3,1,3,1,1,3,1,7,1,1,2,8,2,1,1,5,11,90,1

%N Continued fraction expansion of (3 tanh (3 tanh (3 tanh (...)))).

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

%H W. M. Gosper, <a href="/A309204/a309204.pdf">Material from Bill Gosper's Computers & Math talk, M.I.T., 1989</a>, 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.)

%t ContinuedFraction[Reduce[x == 3 Tanh@x, x, Reals][[3, 2]], 33] (* _Bill Gosper_, Jul 30 2019 *)

%Y Cf. A309208, A309211.

%K nonn,cofr

%O 0,1

%A _N. J. A. Sloane_, Jul 29 2019

%E More terms from _Daniel Suteu_, Jul 30 2019

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Last modified September 19 17:13 EDT 2024. Contains 376014 sequences. (Running on oeis4.)