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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.
1
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
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
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