A334937 -id:A334937 - cp's OEIS frontend

A334938 Sum of the middle side lengths of all Heronian triangles with even sides and perimeter A334936(n).

8, 10, 10, 16, 24, 46, 90, 30, 58, 26, 96, 60, 154, 48, 138, 234, 50, 50, 92, 238, 40, 52, 220, 492, 52, 334, 344, 410, 338, 158, 936, 66, 458, 76, 444, 334, 858, 82, 858, 202, 540, 1120, 832, 200, 306, 552, 780, 1434, 100, 1230, 122, 122, 120, 808, 1268, 428, 260, 260, 2066, 1950, 764, 1342

Offset: 1

Wesley Ivan Hurt, May 16 2020

nonn

			a(1) = 8; there is one Heronian triangle with even side lengths and perimeter A334936(1) = 24, [6,8,10] whose middle side length is 8.
a(2) = 10; there is one Heronian triangle with even side lengths and perimeter A334936(2) = 32, [10,10,12] whose middle side length is 10.

Eric Weisstein's World of Mathematics, Heronian Triangle
Wikipedia, Heronian triangle
Wikipedia, Integer Triangle

Cf. A334936, A334937, A334939.

A334939 Sum of the largest side lengths of all Heronian triangles with even sides and perimeter A334936(n).

Original entry on oeis.org

10, 12, 16, 20, 26, 54, 122, 34, 70, 40, 118, 82, 192, 50, 160, 278, 60, 52, 114, 314, 74, 74, 280, 592, 80, 392, 414, 500, 418, 182, 1174, 104, 588, 102, 534, 428, 996, 100, 1078, 234, 620, 1394, 1060, 294, 412, 684, 1006, 1712, 146, 1488, 150, 136, 170, 1100, 1586, 512

Offset: 1

Wesley Ivan Hurt, May 16 2020

nonn

			a(1) = 10; there is one Heronian triangle with even side lengths and perimeter A334936(1) = 24, [6,8,10] whose largest side length is 10.
a(2) = 12; there is one Heronian triangle with even side lengths and perimeter A334936(2) = 32, [10,10,12] whose largest side length is 12.

Eric Weisstein's World of Mathematics, Heronian Triangle
Wikipedia, Heronian triangle
Wikipedia, Integer Triangle

Cf. A334936, A334937, A334938.

cp's OEIS Frontend

A334938 Sum of the middle side lengths of all Heronian triangles with even sides and perimeter A334936(n).

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