A334018 Sum of the middle side lengths of all primitive Heronian triangles with perimeter A096468(n).

4, 5, 5, 12, 13, 23, 15, 29, 13, 17, 30, 62, 24, 25, 71, 25, 25, 46, 29, 20, 26, 55, 160, 106, 37, 205, 109, 79, 209, 33, 146, 38, 39, 45, 195, 41, 296, 51, 178, 226, 266, 60, 153, 172, 105, 486, 50, 51, 61, 61, 60, 297, 50, 214, 130, 130, 476, 565, 252, 258, 192, 158, 493

Offset

1,1

Links

Table of n, a(n) for n=1..63.

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

Example

a(1) = 4; there is one primitive Heronian triangle with perimeter A096468(1) = 12, [3,4,5] and 4 is the middle side length.
a(6) = 23; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13]. The sum of the middle side lengths is then 10 + 13 = 23.

Crossrefs

Cf. A096468, A330874, A334120.

Sequence in context: A195598 A120132 A331263 * A154914 A154916 A344024

Adjacent sequences: A334015 A334016 A334017 * A334019 A334020 A334021

Keyword

nonn

Author

Wesley Ivan Hurt, May 16 2020

Status

approved