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A304183 Number of primitive inequivalent oblique sublattices of rectangular lattice of index n. 3

%I #6 May 09 2018 23:02:27

%S 0,0,1,1,2,3,3,4,5,6,5,8,6,9,10,10,8,15,9,14,14,15,11,20,14,18,17,20,

%T 14,30,15,22,22,24,22,32,18,27,26,32,20,42,21,32,34,33,23,44,27,42,34,

%U 38,26,51,34,44,38,42,29,64,30,45,46,46,40,66,33,50,46

%N Number of primitive inequivalent oblique sublattices of rectangular lattice of index n.

%H John S. Rutherford, <a href="https://doi.org/10.1107/S010876730804333X">Sublattice enumeration. IV. Equivalence classes of plane sublattices by parent Patterson symmetry and colour lattice group type</a>, Acta Cryst. (2009). A65, 156-163. [See Table 4. Contains errors for n = 24 and 28.]

%F a(n) = (A001615(n) - A304182(n))/2.

%Y Cf. A304182 (primitive mirror-symmetric sublattices), A069734 (all sublattices), A001615 (primitive sublattices of oblique lattice).

%K nonn

%O 1,5

%A _Andrey Zabolotskiy_, May 07 2018

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Last modified July 5 18:14 EDT 2024. Contains 374027 sequences. (Running on oeis4.)