A239355 Number of unit hypercubes, aligned with a four-dimensional Cartesian mesh, partially enclosed along the edge of the first 2^4-ant of a hypersphere centered at the origin, ordered by increasing radius.

0, 1, 1, 5, 5, 11, 11, 15, 14, 19, 19, 31, 31, 43, 39, 43, 43, 49, 49, 65, 59, 77, 77, 89, 85, 93, 89, 105, 105, 129, 117, 129, 128, 133, 133, 157, 145, 175, 171, 187, 181, 199, 195, 223, 211, 235, 223, 235, 235, 247, 235, 263, 257, 299, 287, 315, 303, 315

Offset: 1

Author

Rajan Murthy, Mar 16 2014

Keywords

• nonn

Examples

			At radius 0, there are no partially filled cubes.  At radius > 0 but < 1, there is 1 partially filled square along the edge of the sphere.  At radius = 1, there is 1 partially filled cube along the edge of the sphere.  At radius > 1 but < sqrt(2), there are 5 partially filled cubes.
		

Links

• Rajan Murthy, Table of n, a(n) for n = 1..201

Crossrefs

Cf. A001477 (corresponds to the square radius of alternate entries).

Cf. A237708 (3-dimensional analog), A234300 (2-dimensional analog).

Extensions

Terms a(22) and beyond from b-file by Andrew Howroyd, Feb 05 2018