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

Author

Robert Stephen Jones, Oct 03 2015

Keywords

• nonn
• cons

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.

Examples

			10.996427084559806648376217352434650641833359995632378945808...
		

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)