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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 (list; constant; graph; refs; listen; history; text; internal format)
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: A021505 A175571 A019894 * A157293 A146487 A195790

Adjacent sequences:  A262820 A262821 A262822 * A262824 A262825 A262826

KEYWORD

nonn,cons

AUTHOR

Robert Stephen Jones, Oct 03 2015

STATUS

approved

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Last modified June 24 14:57 EDT 2017. Contains 288697 sequences.