A331247 -id:A331247 - cp's OEIS frontend

A331248 Common denominator of x-coordinate and y-coordinate of 3rd point of triangles with integer sides corresponding to A331247 and A331249.

2, 2, 2, 1, 2, 4, 2, 1, 4, 2, 2, 4, 1, 2, 2, 6, 3, 2, 4, 1, 2, 6, 2, 4, 2, 1, 2, 1, 4, 2, 2, 8, 1, 1, 2, 2, 4, 3, 2, 6, 8, 1, 2, 2, 4, 8, 2, 2, 6, 1, 3, 2, 4, 1, 2, 8, 1, 10, 4, 2, 8, 1, 2, 2, 1, 2, 4, 2, 8, 1, 2, 6, 1, 10, 2, 2, 4, 2, 3, 1, 8, 2, 5, 5, 6, 8, 2

Offset: 1

Hugo Pfoertner, Jan 23 2020

			See A331247.

Cf. A331247, A331249, A331251, A331252, A331253.

A331249 Squared numerator of y-coordinate of 3rd point of n-th triangle with integer sides in a sorted list corresponding to A331247. The y-coordinate is given by sqrt(a(n))/A331248(n).

Original entry on oeis.org

3, 15, 35, 3, 63, 63, 99, 8, 135, 143, 195, 231, 15, 27, 255, 275, 80, 323, 351, 24, 399, 455, 483, 495, 55, 35, 575, 16, 663, 675, 75, 735, 48, 12, 783, 91, 855, 224, 899, 935, 975, 63, 63, 1023, 1071, 1071, 1155, 135, 1235, 80, 320, 1295, 1311, 21, 1443, 1463

Offset: 1

Hugo Pfoertner, Jan 23 2020

nonn

			a(1) = 3 because the 3rd point of the smallest triangle with integer sides (1,1,1) is at (x,y)=(1/2,sqrt(3)/2), A331247(1)=1, A331248(1)=2.
See A331247 for an extended list.

Cf. A331247, A331248, A331251, A331252, A331253, A331695, A331696, A331697.

cp's OEIS Frontend

A331248 Common denominator of x-coordinate and y-coordinate of 3rd point of triangles with integer sides corresponding to A331247 and A331249.

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