A263202 Decimal expansion of the lowest Dirichlet eigenvalue of the Laplacian within the unit-edged regular hexagon.

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

Offset

1,1

Links

Robert Stephen Jones, Table of n, a(n) for n = 1..1001

L. Bauer and E. L. Reiss, Cutoff wavenumbers and modes of hexagonal waveguides, SIAM J. of Appl. Math., 35 (1978), 508-514. (Note: 6-digit results.)

L. M. Cureton and J. R. Kuttler, Eigenvalues of the Laplacian on regular polygons and polygons resulting from their dissection, Journal of Sound and Vibration, 220 (1998), 83-98. (Note: Table 2 presents their 8-digit digit results.)

Robert S. Jones, Computing ultra-precise eigenvalues of the Laplacian within polygons, arXiv preprint arXiv:1602.08636, 2016

Example

7.1553391339260551282100176168331392806691995857769779...

Crossrefs

Cf. A262701 (L-shape) and A262823 (regular pentagon).

Sequence in context: A021587 A195496 A065479 * A011478 A334072 A118307

Adjacent sequences: A263199 A263200 A263201 * A263203 A263204 A263205

Keyword

nonn,cons

Author

Robert Stephen Jones, Oct 12 2015

Status

approved