A331245 Triangles with integer sides i <= j <= k sorted by radius of enclosing circle, and, in case of ties, lexicographically by side lengths (smallest first). The sequence gives the middle side j. The other sides are in A331244 and A331246.

1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 5, 5, 4, 5, 5, 5, 5, 4, 5, 4, 6, 5, 6, 6, 5, 6, 6, 6, 6, 5, 6, 4, 5, 5, 6, 7, 7, 6, 7, 7, 6, 7, 7, 7, 6, 7, 5, 6, 5, 6, 7, 8, 6, 8, 7, 7, 8, 8, 7, 8, 7, 8, 8, 8, 7, 8, 6, 7, 8, 5, 6, 7, 6, 7, 9, 8, 9, 9, 7, 8, 9

Offset

1,2

Comments

The enclosing circle differs from the circumcircle by limiting the radius to (longest side)/2 for obtuse triangles, i.e., those with i^2 + j^2 < k^2.

Links

Table of n, a(n) for n=1..87.

Example

See A331244.

Crossrefs

Cf. A331244 (shortest side), A331246 (longest side).

Sequence in context: A318781 A357186 A316844 * A130239 A091092 A218461

Adjacent sequences: A331242 A331243 A331244 * A331246 A331247 A331248

Keyword

nonn

Author

Hugo Pfoertner, Jan 20 2020

Status

approved