A393563 a(n) is the number of unit cubes in the cubic lattice, divided by 8, that have at least one vertex strictly inside and at least one vertex strictly outside the sphere x^2 + y^2 + z^2 = n.

0, 1, 4, 6, 7, 10, 13, 16, 16, 16, 22, 25, 27, 28, 28, 34, 34, 34, 40, 43, 46, 46, 49, 52, 49, 52, 55, 63, 67, 61, 67, 73, 73, 70, 73, 76, 79, 85, 82, 91, 91, 88, 97, 100, 100, 97, 103, 109, 108, 103, 106, 115, 121, 121, 121, 133, 127, 127, 133, 130, 139, 133, 133, 145

Offset

0,3

Links

Hugo Pfoertner, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A005875, A117609, A393562.

Sequence in context: A103401 A285091 A286485 * A363189 A277572 A107622

Adjacent sequences: A393560 A393561 A393562 * A393564 A393565 A393566

Keyword

nonn

Author

Hugo Pfoertner, Feb 21 2026

Status

approved