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A361087
Maximum squared inverse distance from the origin to the hyperplane defined by hypercube points.
0
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).
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
KEYWORD
nonn,hard,more
AUTHOR
Veit Elser, Jun 12 2023
STATUS
approved