%I A123168
%S A123168 0,1,6,5,14,9,22,13,30,17,38,21,46,25,54,29,62,33,70,37,78,41,86,45,94,
%T A123168 49,102,53,110,57,118,61,126,65,134,69,142,73,150,77,158,81,166,85,174,
%U A123168 89,182,93,190,97,198,101,206,105,214,109,222,113
%N A123168 Continued fraction for c=sqrt(2)*(exp(sqrt(2))-1)/(exp(sqrt(2))+1). a(2n)=4n-3,
a(2n+1)=8n-2.
%C A123168 This continued fraction shows exp(sqrt(2)) is irrationnal.
%D A123168 J. Borwein and D. Bailey, Mathematics by experiment, plausible reasoning
in the 21st Century, A. K. Peters, p. 77
%Y A123168 Sequence in context: A103132 A046627 A120114 this_sequence A119636 A101493
A039668
%Y A123168 Adjacent sequences: A123165 A123166 A123167 this_sequence A123169 A123170
A123171
%K A123168 nonn
%O A123168 1,3
%A A123168 Benoit Cloitre (abmt(AT)orange.fr), Oct 02 2006
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