A383785 Numbers not occurring as norms of vectors in any regular planar lattice.

6, 11, 14, 15, 22, 23, 24, 30, 33, 35, 38, 42, 44, 46, 47, 51, 54, 55, 56, 59, 60, 62, 66, 69, 70, 71, 77, 78, 83, 86, 87, 88, 92, 94, 95, 96, 99, 102, 105, 107, 110, 114, 115, 118, 119, 120, 123, 126, 131, 132, 134, 135, 138, 140, 141, 142, 143, 150, 152, 154

Offset: 1

Author

C. S. Davis, May 09 2025

Keywords

• nonn

Comments

The norms of Hurwitz quaternions strictly noncoplanar with the origin and any nonopposing pair of unit Hurwitz quaternions, due to Lagrange's four-square theorem and the complement's representation of every coplanar Hurwitz quaternion norm. - C. S. Davis, May 19 2025

Links

• C. S. Davis, Table of n, a(n) for n = 1..7374

Crossrefs

Intersection of A022544 and A034020.

Complement of A383784.

Supersequence of A055039.