Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 4500 articles have referenced us, often saying "we would not have discovered this result without the OEIS".
This continued fraction shows exp(sqrt(2)) is irrational.
J. Borwein and D. Bailey, Mathematics by experiment, plausible reasoning in the 21st Century, A. K. Peters, p. 77
Table of n, a(n) for n=1..58.
Conjecture: a(n) = 2*a(n-2)-a(n-4) for n>5. G.f.: x^2*(1+6*x+3*x^2+2*x^3)/((1-x)^2*(1+x)^2). [Colin Barker, Apr 15 2012]
Sequence in context: A103132 A046627 A120114 * A119636 A101493 A188067
Adjacent sequences: A123165 A123166 A123167 * A123169 A123170 A123171
Benoit Cloitre, Oct 02 2006