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

1,1

Links

Table of n, a(n) for n=1..62.

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

Example

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.

Crossrefs

Cf. A334936, A334937, A334939.

Sequence in context: A010733 A365790 A066004 * A334928 A107032 A031953

Adjacent sequences: A334935 A334936 A334937 * A334939 A334940 A334941

Keyword

nonn

Author

Wesley Ivan Hurt, May 16 2020

Status

approved