A262823 Decimal expansion of lowest Dirichlet eigenvalue of Laplacian within the unit-edged regular pentagon.

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

Adjacent sequences: A262820 A262821 A262822 * A262824 A262825 A262826

Keyword

nonn,cons

Author

Robert Stephen Jones, Oct 03 2015

Status

approved