login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A157223 Number of primitive inequivalent oblique sublattices of centered rectangular lattice of index n. 2

%I #12 May 09 2018 23:01:44

%S 0,1,1,2,2,5,3,4,5,8,5,10,6,11,10,10,8,17,9,16,14,17,11,20,14,20,17,

%T 22,14,34,15,22,22,26,22,34,18,29,26,32,20,46,21,34,34,35,23,44,27,44,

%U 34,40,26,53,34,44,38,44,29,68,30,47,46,46,40,70,33,52,46

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

%H John S. Rutherford, <a href="http://dx.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.]

%F a(n) = (A001615(n) - A060594(n))/2. - _Andrey Zabolotskiy_, May 09 2018

%Y Cf. A060594 (primitive mirror-symmetric sublattices), A145390 (all mirror-symmetric sublattices), A145391 (all sublattices), A001615, A304182.

%K nonn

%O 1,4

%A _N. J. A. Sloane_, Feb 25 2009

%E New name and more terms from _Andrey Zabolotskiy_, May 09 2018

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 16 16:01 EDT 2024. Contains 371749 sequences. (Running on oeis4.)