A334934 Largest possible odd side length of a primitive Heronian triangle with perimeter A096468(n).

5, 5, 5, 13, 15, 17, 17, 15, 13, 21, 17, 25, 25, 29, 29, 25, 25, 29, 35, 37, 37, 39, 41, 41, 37, 45, 41, 51, 53, 33, 53, 51, 39, 53, 61, 41, 65, 65, 65, 65, 73, 73, 75, 75, 75, 73, 73, 77, 75, 61, 85, 87, 89, 89, 87, 87, 95, 97, 97, 97, 101, 101, 101, 97, 109, 87, 111, 113

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

Example

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

Crossrefs

Cf. A096468, A334928.

Sequence in context: A266953 A224165 A330318 * A131286 A183390 A013607

Adjacent sequences: A334931 A334932 A334933 * A334935 A334936 A334937

Keyword

nonn

Author

Wesley Ivan Hurt, May 16 2020

Status

approved