A331209 Largest possible area of a primitive Heronian triangle with perimeter A096468(n).

6, 12, 12, 30, 24, 60, 60, 84, 66, 84, 120, 126, 84, 60, 168, 132, 204, 210, 84, 114, 156, 180, 252, 360, 264, 420, 420, 468, 306, 330, 504, 456, 420, 630, 720, 780, 660, 408, 630, 660, 1020, 456, 924, 1170, 840, 1260, 984, 924, 1020, 1290, 522, 1320, 420, 1092, 1116, 1710

Offset

1,1

Links

Table of n, a(n) for n=1..56.

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

Example

a(1) = 6; there is one primitive Heronian triangle with perimeter A096468(1) = 12, which is [3,4,5] and its area is 6.
a(6) = 60; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13] with areas 36 and 60. The largest of these is 60.

Crossrefs

Cf. A096468.

Sequence in context: A132632 A223352 A063648 * A063722 A323058 A072294

Adjacent sequences: A331206 A331207 A331208 * A331210 A331211 A331212

Keyword

nonn

Author

Wesley Ivan Hurt, May 03 2020

Status

approved