A330874 Sum of the smallest side lengths of all primitive Heronian triangles with perimeter A096468(n).

3, 5, 5, 5, 4, 19, 8, 20, 11, 10, 29, 28, 7, 6, 36, 11, 17, 37, 8, 19, 15, 29, 69, 47, 15, 133, 64, 38, 71, 25, 100, 25, 25, 28, 97, 39, 132, 20, 46, 84, 142, 19, 103, 93, 67, 242, 41, 40, 34, 43, 29, 179, 41, 76, 70, 95, 267, 301, 69, 192, 119, 68, 178, 136, 99, 61, 201, 218

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) = 3; there is one primitive Heronian triangle with perimeter A096468(1) = 12, [3,4,5] and 3 is the smallest side length.
a(6) = 19; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13]. The sum of the smallest side lengths is then 9 + 10 = 19.

Crossrefs

Cf. A096468, A334018, A334120.

Sequence in context: A307447 A016658 A331210 * A372561 A338058 A365677

Adjacent sequences: A330871 A330872 A330873 * A330875 A330876 A330877

Keyword

nonn

Author

Wesley Ivan Hurt, May 16 2020

Status

approved