A334927 Largest possible even side length of a primitive Heronian triangle with perimeter A096468(n).

4, 6, 8, 12, 4, 10, 8, 20, 20, 10, 24, 26, 24, 6, 30, 30, 26, 28, 8, 20, 26, 30, 34, 40, 44, 48, 44, 40, 52, 52, 50, 38, 56, 28, 52, 50, 60, 20, 68, 70, 74, 60, 66, 68, 52, 80, 50, 40, 34, 68, 60, 82, 50, 84, 68, 68, 82, 92, 90, 72, 100, 80, 104, 92, 100, 74, 96, 106, 100, 104

Offset

1,1

Links

Table of n, a(n) for n=1..70.

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

Example

a(1) = 4; there is one primitive Heronian triangle with perimeter A096468(1) = 12, which is [3,4,5] and its largest even side length is 4.
a(6) = 10; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13]. The largest even side length of the two triangles is 10.

Crossrefs

Cf. A096468, A334920.

Sequence in context: A310661 A351415 A139404 * A334920 A014455 A320136

Adjacent sequences: A334924 A334925 A334926 * A334928 A334929 A334930

Keyword

nonn

Author

Wesley Ivan Hurt, May 16 2020

Status

approved