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

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, 14, 30, 15, 22, 22, 24, 22, 32, 18, 27, 26, 32, 20, 42, 21, 32, 34, 33, 23, 44, 27, 42, 34, 38, 26, 51, 34, 44, 38, 42, 29, 64, 30, 45, 46, 46, 40, 66, 33, 50, 46

Offset

1,5

Links

Table of n, a(n) for n=1..69.

John S. Rutherford, Sublattice enumeration. IV. Equivalence classes of plane sublattices by parent Patterson symmetry and colour lattice group type, Acta Cryst. (2009). A65, 156-163. [See Table 4. Contains errors for n = 24 and 28.]

Formula

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

Crossrefs

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

Sequence in context: A075699 A112330 A332682 * A157222 A367588 A320033

Adjacent sequences: A304180 A304181 A304182 * A304184 A304185 A304186

Keyword

nonn

Author

Andrey Zabolotskiy, May 07 2018

Status

approved