login
Number of unit cubes, aligned with a three-dimensional Cartesian mesh, partially encircled along the edge of the first octant of a sphere centered at the origin, ordered by increasing radius.
3

%I #11 Jan 19 2022 22:39:30

%S 0,1,1,4,4,7,6,7,7,10,10,16,13,16,16,19,16,22,22,28,25,28,27,28,28,34,

%T 28,34,34,37,34,43,40,46,43,46,46,52,46,52,49,52,49,52,52,61,55,67,63

%N Number of unit cubes, aligned with a three-dimensional Cartesian mesh, partially encircled along the edge of the first octant of a sphere centered at the origin, ordered by increasing radius.

%e At radius 0, there are no partially filled cubes. At radius >0 but < sqrt(1), there is 1 partially filled square along the edge of the sphere. At radius = sqrt(1), there is 1 partially filled cube along the edge of the sphere. At radius > 1 but < sqrt(2), there are 4 partially filled cubes.

%Y Cf. A000378 (corresponds to the square radius of alternate entries).

%Y Cf. A234300 (2-dimensional analog).

%K nonn

%O 0,4

%A _Rajan Murthy_, Feb 11 2014