A331254 Triangles with integer sides i <= j <= k sorted by radius of circumcircle, and, in case of ties, lexicographically by side lengths (smallest first). The sequence gives the shortest side i. The other sides are in A331255 and A331256.

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

Offset

1,3

Links

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

Example

List of triangles begins:
   n
   |     R^2 = A331227(n)/A331228(n)
   |     |    i .... (this sequence)
   |     |    | j .. (A331255)
   |     |    | | k  (A331256)
   |     |    | | |
   1    1/ 3  1 1 1
   2   16/15  1 2 2
   3    4/ 3  2 2 2
   4   16/ 7  2 2 3
   5   81/35  1 3 3
   6   81/32  2 3 3
   7    3/ 1  3 3 3
   8   81/20  3 3 4
   9  256/63  1 4 4
  10   64/15  2 3 4
  11   64/15  2 4 4
  12  256/55  3 4 4

Crossrefs

Cf. A331227, A331228, A331251, A331252, A331253.

Cf. A331255 (middle side), A331256 (longest side).

Sequence in context: A241424 A334671 A294232 * A193738 A230494 A368175

Adjacent sequences: A331251 A331252 A331253 * A331255 A331256 A331257

Keyword

nonn

Author

Hugo Pfoertner, Jan 19 2020

Status

approved