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

1,1

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.

Sequence in context: A154293 A199717 A163871 * A201915 A237606 A378710

Adjacent sequences: A383782 A383783 A383784 * A383786 A383787 A383788

Keyword

nonn

Author

C. S. Davis, May 09 2025

Status

approved