The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A361087 Maximum squared inverse distance from the origin to the hyperplane defined by hypercube points. 0

%I #21 Mar 08 2024 23:11:54

%S 1,1,3,7,19

%N Maximum squared inverse distance from the origin to the hyperplane defined by hypercube points.

%C Because it is not known if the squared inverse distances are always integers, this is a sequence of numerators (and the known corresponding denominators are all 1). The next two terms are conjectured to be 59 and 203 (distinct from sequences already in the OEIS).

%F a(n) = max_(m in M_n) ||m^(-1) e||^2, where M_n is the set of n X n nonsingular matrices with -1/+1 elements and e is the vector of all 1's.

%K nonn,hard,more

%O 1,3

%A _Veit Elser_, Jun 12 2023

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 June 19 02:16 EDT 2024. Contains 373492 sequences. (Running on oeis4.)