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A199765 Number of Landsberg zones in the n-th Brillouin zone of a rectangular lattice. 0
1, 4, 10, 12, 18, 26, 30, 34, 38, 42, 48, 50, 58, 68, 76, 72, 78 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This sequence enumerates the number of polygons that make up the n-th Brillouin zone of a two-dimensional rectangular lattice. Brillouin zones play an important role in the description of wave propagation in crystals. Their tiling of the lattice's fundamental domain is also known in physics as the "reduced zone scheme", so, alternatively, this sequence enumerates the number of "pieces" in the reduced zone scheme.

REFERENCES

M.G. Jurado-Taracena, "On Brillouin zones and related constructions", Rev. Mex. Fis. E, 57 (2011), 32-37.

LINKS

Table of n, a(n) for n=1..17.

CROSSREFS

Cf. A180603

Sequence in context: A107960 A310342 A310343 * A065056 A310344 A310345

Adjacent sequences:  A199762 A199763 A199764 * A199766 A199767 A199768

KEYWORD

nonn,more

AUTHOR

MG Jurado-Taracena, Nov 10 2011

STATUS

approved

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Last modified November 17 18:24 EST 2018. Contains 317276 sequences. (Running on oeis4.)