A249871 Irrational parts of the Q(sqrt(3)) integers giving the square of the radii for lattice point circles for the Archimedean tiling (3,4,6,4).

0, 0, 0, 0, 1, 0, 1, 2, 2, 3, 2, 3, 4, 4, 3, 4, 5, 4, 4, 6, 6, 6, 6, 8, 7, 8, 8, 9, 8, 8, 8, 10, 10, 11, 9, 10, 12, 10, 12, 12, 10, 12, 13, 13, 12, 14, 12, 15, 16, 15, 15, 15, 16, 18, 18, 16, 19, 18, 17, 18, 18, 20, 20, 18, 20, 18, 21, 19, 22

Offset

0,8

Comments

The corresponding rational parts are given in A249870.

The square of the radii R2(n) of lattice point circles around any lattice point of the Archimedean tiling (3,4,6,4) are integers in Q(sqrt(3)): R2(n) = A249870(n) + a(n)*sqrt(3), n >= 0. They are sorted in increasing order. For details, especially the coordinates of the lattice points, see the note given in a link under A249870.

Links

Table of n, a(n) for n=0..68.

Example

See A249870.

Crossrefs

Cf. A249870, A251627, A251628.

Sequence in context: A073453 A123229 A127095 * A330408 A074712 A271914

Adjacent sequences: A249868 A249869 A249870 * A249872 A249873 A249874

Keyword

nonn,easy

Author

Wolfdieter Lang, Dec 06 2014

Status

approved