A239353 Number of unit hypercubes, aligned with a four-dimensional Cartesian mesh, completely within the first 2^4-ant of a hypersphere centered at the origin, ordered by increasing radius.

1, 5, 11, 15, 19, 31, 32, 44, 48, 54, 58, 70, 82, 94, 100, 112, 124, 148, 164, 176, 194, 206, 219, 235, 247, 275, 281, 317, 333, 345, 369, 393, 417, 421, 437

Offset

1,2

Links

Rajan Murthy, Table of n, a(n) for n = 1..100

Rajan Murthy, Scilab code for generating the sequence

Example

When the radius of the sphere reaches 2, one cube is completely within the sphere. When the radius reaches 7^(1/2), five cubes are completely within the sphere.

Crossrefs

Cf. A237707 (3-dimensional analog), A232499 (2-dimensional analog). The square radii corresponding to the elements of {a(n)} are the indices of the nonzero terms of A025428.

Sequence in context: A314016 A314017 A314018 * A075628 A314019 A314020

Adjacent sequences: A239350 A239351 A239352 * A239354 A239355 A239356

Keyword

nonn

Author

Rajan Murthy, Mar 16 2014

Status

approved