A394294 - OEIS

A394294

a(n) is the number of unit cubes in the cubic lattice, divided by 8, that have 1 vertex strictly inside and 7 vertices strictly outside the sphere (x-1/2)^2 + (y-1/2)^2 + (z-1/2)^2 = n, i.e., the sphere centered at the deep hole.

0, 1, 1, 3, 3, 3, 3, 4, 4, 7, 7, 3, 3, 9, 9, 9, 9, 6, 6, 10, 10, 10, 10, 13, 13, 9, 9, 15, 15, 12, 12, 12, 12, 18, 18, 15, 15, 19, 19, 13, 13, 16, 16, 22, 22, 21, 21, 18, 18, 21, 21, 24, 24, 21, 21, 21, 21, 24, 24, 27, 27, 22, 22, 31, 31, 28, 28, 25, 25, 28, 28, 24, 24, 33

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,4

LINKS

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

CROSSREFS

Cf. A005878, A393821, A394295, A394296, A394297, A394304, A394305, A394306.

Sequence in context: A391118 A035936 A006671 * A046074 A328914 A295084

Adjacent sequences: A394291 A394292 A394293 * A394295 A394296 A394297

KEYWORD

nonn

AUTHOR

Hugo Pfoertner, Mar 15 2026

STATUS

approved