A331210 Largest possible side length, a, of a primitive Heronian triangle with perimeter A096468(n), such that a <= b <= c.

3, 5, 5, 5, 4, 10, 8, 13, 11, 10, 16, 13, 7, 6, 17, 11, 17, 20, 8, 19, 15, 16, 17, 25, 15, 29, 29, 25, 27, 25, 29, 25, 25, 28, 37, 39, 33, 20, 25, 37, 41, 19, 35, 51, 35, 53, 41, 40, 34, 43, 29, 48, 41, 35, 39, 57, 56, 65, 36, 52, 51, 39, 41, 53, 68, 61, 60, 65, 61, 41

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

Crossrefs

Cf. A096468.

Cf. A331263, A331264.

Sequence in context: A160585 A307447 A016658 * A330874 A372561 A338058

Adjacent sequences: A331207 A331208 A331209 * A331211 A331212 A331213

Keyword

nonn

Author

Wesley Ivan Hurt, May 03 2020

Status

approved