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

1,4

Links

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

Example

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.

Crossrefs

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

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

Sequence in context: A058610 A143427 A287996 * A218121 A168300 A356048

Adjacent sequences: A239352 A239353 A239354 * A239356 A239357 A239358

Keyword

nonn

Author

Rajan Murthy, Mar 16 2014

Extensions

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

Status

approved