A078184 Number of solutions to n^2 < x^2 + y^2 + z^2 < (n+1)^2; number of lattice points between spheres of radii n and n+1.

0, 20, 60, 128, 228, 380, 440, 684, 860, 1068, 1328, 1548, 1940, 2288, 2484, 2924, 3300, 3824, 4140, 4700, 5240, 5484, 6260, 6864, 7340, 8180, 8676, 9392, 9804, 10988, 11208, 12572, 13100, 13860, 14792, 15588, 16604, 17328, 18500, 19292

Offset

0,2

Links

Table of n, a(n) for n=0..39.

Formula

a(n) = A078183(n+1) - A000605(n)

Mathematica

Table[Sum[SquaresR[3, k], {k, n^2 + 1, (n + 1)^2 - 1}], {n, 0, 50}]

Crossrefs

Cf. A000605, A078183.

Sequence in context: A344200 A163761 A154072 * A362268 A116530 A219830

Adjacent sequences: A078181 A078182 A078183 * A078185 A078186 A078187

Keyword

nonn

Author

T. D. Noe, Nov 21 2002

Status

approved