A071343 -id:A071343 - cp's OEIS frontend

A071609 Squared radii of the spheres around (0,0,0) that contain record numbers of lattice points.

1, 2, 5, 9, 14, 26, 41, 74, 89, 101, 146, 194, 269, 314, 341, 446, 614, 626, 689, 794, 854, 941, 1106, 1109, 1154, 1286, 1361, 1634, 1781, 1889, 2141, 2609, 2966, 3134, 3401, 3449, 3506, 4241, 4289, 4826, 5381, 5561, 6254, 7229, 7829, 8069, 8126

Offset: 1

Hugo Pfoertner, May 25 2002

nonn

The number of lattice points (i,j,k) on the sphere around (0,0,0) with i^2 + j^2 + k^2 = a(n) is given by A071611(n).

Indices of records in A005875. - Daniel Suteu, Aug 13 2021

Hugo Pfoertner, Table of n, a(n) for n = 1..189

Cf. A005875, A071342, A071343, A071344, A071610, A071611.

A071610 Integer radii of the spheres around (0,0,0) that contain record numbers of lattice points.

Original entry on oeis.org

1, 2, 3, 3, 4, 6, 7, 9, 10, 11, 13, 14, 17, 18, 19, 22, 25, 26, 27, 29, 30, 31, 34, 34, 34, 36, 37, 41, 43, 44, 47, 52, 55, 56, 59, 59, 60, 66, 66, 70, 74, 75, 80, 86, 89, 90, 91, 94, 100, 103, 104, 109, 115, 115, 119, 125, 134, 141, 146, 153, 153, 157, 168, 171

Offset: 1

Hugo Pfoertner, May 25 2002

nonn

Multiple entries indicate that there is more than one covered sphere with an increase in the number of hit lattice points within a radius difference of 1.

Cf. A071342, A071343, A071344, A071609, A071611.

a(n) = ceiling(A071609(n)^(1/2)).

cp's OEIS Frontend

A071609 Squared radii of the spheres around (0,0,0) that contain record numbers of lattice points.

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