A331247 Numerator of the x-coordinate of the 3rd point (x,y) of the n-th triangle with integer sides i <= j <= k in a list sorted by increasing area, when the triangle is drawn with the shortest side from (0,0) to (0,i) and the middle side from (0,i) to (x,y). x = a(n)/A331248(n), y = sqrt(A331249(n))/A331248(n).
1, 1, 1, 1, 1, 9, 1, 1, 11, 1, 1, 13, 1, 3, 1, 25, 8, 1, 15, 1, 1, 29, 1, 17, 3, 1, 1, 3, 19, 1, 11, 49, 1, 2, 1, 3, 21, 10, 1, 37, 25, 1, 9, 1, 23, 55, 1, 3, 41, 1, 11, 1, 25, 2, 1, 61, 5, 81, 27, 15, 27, 1, 1, 3, 4, 1, 29, 5, 67, 1, 1, 49, 2, 89, 1, 11, 31, 3
Offset: 1
Examples
x(n) = a(n) / A331248(n), y(n) = sqrt(A331249(n)) / A331248(n), n i (A331251) | | j (A331252) | | | k (A331253) | | | | A^2*16 | | | | | a(n) this sequence | | | | | | A331248 | | | | | | | A331249 | | | | | | | | (x, y) 1 1 1 1 3 1 2 3 (0.5000, 0.86603) 2 1 2 2 15 1 2 15 (0.5000, 1.9365) 3 1 3 3 35 1 2 35 (0.5000, 2.9580) 4 2 2 2 48 1 1 3 (1.0000, 1.7321) 5 1 4 4 63 1 2 63 (0.5000, 3.9686) 6 2 2 3 63 9 4 63 (2.2500, 1.9843) 7 1 5 5 99 1 2 99 (0.5000, 4.9749) 8 2 3 3 128 1 1 8 (1.0000, 2.8284) 9 2 3 4 135 11 4 135 (2.7500, 2.9047) 10 1 6 6 143 1 2 143 (0.5000, 5.9791) 11 1 7 7 195 1 2 195 (0.5000, 6.9821) 12 2 4 5 231 13 4 231 (3.2500, 3.7997) 13 2 4 4 240 1 1 15 (1.0000, 3.8730) 14 3 3 3 243 3 2 27 (1.5000, 2.5981) ... 28 3 4 5 576 3 1 16 (3.0000, 4.0000)
Comments