login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

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