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

Author

Rajan Murthy, Mar 16 2014

Keywords

• nonn

Examples

			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.
		

Links

• Rajan Murthy, Table of n, a(n) for n = 1..100
• Rajan Murthy, Scilab code for generating the sequence

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.