OFFSET
1,1
COMMENTS
The eigenvalues of the Laplacian within the regular pentagon with Dirichlet boundary conditions are calculated to at least 1000 digits. The ratio of the second eigenvalue to the first is calculated and expressed as a continued fraction. The ratio has an advantage since it is independent of the pentagon area. All terms in this expansion are correct.
LINKS
Robert Stephen Jones, Table of n, a(n) for n = 1..978
EXAMPLE
2.52683872... = 2+1/(1+1/(1+1/(8+1/(1+...)))).
CROSSREFS
KEYWORD
nonn,cofr
AUTHOR
Robert Stephen Jones, Sep 18 2016
STATUS
approved