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A262823
Decimal expansion of lowest Dirichlet eigenvalue of Laplacian within the unit-edged regular pentagon.
3
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, 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, 6, 7, 7, 2, 4, 3, 3, 4, 2, 4, 6, 4, 6, 7, 6, 8, 6, 9
OFFSET
2,3
COMMENTS
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.
LINKS
Robert Stephen Jones, Table of n, a(n) for n = 2..1504
Robert S. Jones, Computing ultra-precise eigenvalues of the Laplacian within polygons, arXiv preprint arXiv:1602.08636, 2016
Colleen Lanz, The use of Schwarz-Christoffel transformations in determining acoustic resonances, Master's Thesis, Virgina Polytechnic Institute and State University, 2010. (See first entry in Table 8.2)
EXAMPLE
10.996427084559806648376217352434650641833359995632378945808...
CROSSREFS
Sequence in context: A346850 A344505 A334478 * A157293 A346445 A146487
KEYWORD
nonn,cons
AUTHOR
STATUS
approved