The OEIS is supported by the many generous donors to the OEIS Foundation.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #8 Nov 13 2024 16:40:45
%S 1,5,10,32,76,184,408,944,2088,4680,10168,22192,47952
%N a(n) = period of terms in quasi-periodic continued fraction expansion of 2^n*tanh(1).
%e E.g. tanh(1)=[0,1,3,5,7,9,...] pattern being /2n+1/ (length=1), so a(1) = 1.
%e 2*tanh(1) = [1; 1, 1, 10, 3, 1, 1, 4, 22, 6, 1, 1, 7, 34, 9...]. It is the concatenation of parts of the form [1, 1, 3*m-2, 12*m-2, 3*m] for m = 1,2,3..., so a(2) = 5.
%K nonn,more
%O 0,2
%A _Thomas Baruchel_, Jun 03 2004
%E More terms from _Thomas Baruchel_, Aug 26 2004