A361087 Maximum squared inverse distance from the origin to the hyperplane defined by hypercube points.

1, 1, 3, 7, 19

Offset

1,3

Comments

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).

Links

Table of n, a(n) for n=1..5.

Formula

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.

Crossrefs

Sequence in context: A079898 A173449 A270519 * A212848 A217371 A088629

Adjacent sequences: A361084 A361085 A361086 * A361088 A361089 A361090

Keyword

nonn,hard,more

Author

Veit Elser, Jun 12 2023

Status

approved