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

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

1,2

Comments

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.

Links

Table of n, a(n) for n=1..64.

Formula

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

Crossrefs

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

Sequence in context: A101195 A036018 A123552 * A358993 A198726 A117275

Adjacent sequences: A071607 A071608 A071609 * A071611 A071612 A071613

Keyword

nonn

Author

Hugo Pfoertner, May 25 2002

Status

approved