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 A331244 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 shortest side i. The other sides are in A331245 and A331246. 5
 1, 1, 2, 2, 1, 2, 3, 2, 3, 1, 2, 3, 4, 2, 3, 3, 1, 2, 4, 3, 4, 5, 2, 3, 3, 4, 1, 4, 2, 3, 5, 4, 5, 6, 2, 3, 3, 4, 4, 5, 4, 1, 2, 5, 3, 4, 6, 5, 6, 2, 3, 3, 4, 4, 5, 5, 4, 1, 6, 2, 5, 7, 3, 4, 6, 5, 7, 6, 7, 2, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 1, 5, 2, 3, 7, 6, 4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 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 EXAMPLE List of triangles begins:    n    |     R^2    |     |    i .... (this sequence)    |     |    | j .. (A331245)    |     |    | | k  (A331246)    |     |    | | |    1    1/ 3  1 1 1    2   16/15  1 2 2    3    4/ 3  2 2 2    4    9/ 4  2 2 3  obtuse    5   81/35  1 3 3    6   81/32  2 3 3    7    3/ 1  3 3 3    8    4/ 1  2 3 4  obtuse    9   81/20  3 3 4   10  256/63  1 4 4   11   64/15  2 4 4   12  256/55  3 4 4   13   16/ 3  4 4 4   14   25/ 4  2 4 5  obtuse   15   25/ 4  3 3 5  obtuse   16   25/ 4  3 4 5   17  625/99  1 5 5 CROSSREFS Cf. A128006, A128007, A192493, A192494, A331227, A331228, A331251, A331252, A331253, A331254, A331255, A331256. Cf. A331245 (middle side), A331246 (longest side). Sequence in context: A160735 A216338 A227725 * A316845 A120481 A219644 Adjacent sequences:  A331241 A331242 A331243 * A331245 A331246 A331247 KEYWORD nonn AUTHOR Hugo Pfoertner, Jan 20 2020 STATUS approved

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Last modified August 10 10:09 EDT 2022. Contains 356039 sequences. (Running on oeis4.)