A331263 Largest possible side length, b, of a primitive Heronian triangle with perimeter A096468(n), such that a <= b <= c.

4, 5, 5, 12, 13, 13, 15, 15, 13, 17, 17, 25, 24, 25, 29, 25, 25, 25, 29, 20, 26, 30, 35, 40, 37, 40, 41, 40, 51, 33, 41, 38, 39, 45, 53, 41, 60, 51, 65, 65, 61, 60, 56, 68, 53, 73, 50, 51, 61, 61, 60, 74, 50, 84, 68, 65, 82, 89, 90, 73, 87, 80, 89, 85, 100, 74, 91, 82

Offset

1,1

Links

Table of n, a(n) for n=1..68.

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

Formula

a(1) = 4; there is one primitive Heronian triangle with perimeter A096468(1) = 12, which is [3,4,5] and its middle side length is 4.

a(6) = 13; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13] with middle side lengths 10 and 13. The largest of these is 13.

Crossrefs

Cf. A096468.

Cf. A331210, A331264.

Sequence in context: A335820 A195598 A120132 * A334018 A154914 A154916

Adjacent sequences: A331260 A331261 A331262 * A331264 A331265 A331266

Keyword

nonn

Author

Wesley Ivan Hurt, May 03 2020

Status

approved