A262823 - OEIS

%I #21 Apr 07 2017 13:01:28

%S 1,0,9,9,6,4,2,7,0,8,4,5,5,9,8,0,6,6,4,8,3,7,6,2,1,7,3,5,2,4,3,4,6,5,

%T 0,6,4,1,8,3,3,3,5,9,9,9,5,6,3,2,3,7,8,9,4,5,8,0,8,2,5,8,7,5,5,7,6,3,

%U 6,7,7,2,4,3,3,4,2,4,6,4,6,7,6,8,6,9

%N Decimal expansion of lowest Dirichlet eigenvalue of Laplacian within the unit-edged regular pentagon.

%C This is the lowest Dirichlet eigenvalue of the Helmholtz equation within the unit-edged regular pentagon. It has been calculated (RSJ, Sep 2015) to just over 1500 decimal digits.

%H Robert Stephen Jones, <a href="/A262823/b262823.txt">Table of n, a(n) for n = 2..1504</a>

%H Robert S. Jones, <a href="http://arxiv.org/abs/1602.08636">Computing ultra-precise eigenvalues of the Laplacian within polygons</a>, arXiv preprint arXiv:1602.08636, 2016

%H Colleen Lanz, <a href="http://scholar.lib.vt.edu/theses/available/etd-07082010-083729/unrestricted/Lanz_CB_T_2010.pdf">The use of Schwarz-Christoffel transformations in determining acoustic resonances</a>, Master's Thesis, Virgina Polytechnic Institute and State University, 2010. (See first entry in Table 8.2)

%e 10.996427084559806648376217352434650641833359995632378945808...

%K nonn,cons

%O 2,3

%A _Robert Stephen Jones_, Oct 03 2015