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A199765 Number of Landsberg zones in the n-th Brillouin zone of a rectangular lattice. 1

%I #16 Aug 14 2013 14:00:43

%S 1,4,10,12,18,26,30,34,38,42,48,50,58,68,76,72,78

%N Number of Landsberg zones in the n-th Brillouin zone of a rectangular lattice.

%C 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.

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

%Y Cf. A180603

%K nonn,more

%O 1,2

%A _MG Jurado-Taracena_, Nov 10 2011

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Last modified June 14 12:37 EDT 2024. Contains 373400 sequences. (Running on oeis4.)