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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.
5
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
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. A331255 (middle side), A331256 (longest side).
Sequence in context: A241424 A334671 A294232 * A193738 A230494 A368175
KEYWORD
nonn
AUTHOR
Hugo Pfoertner, Jan 19 2020
STATUS
approved