A334120 Sum of the largest side lengths of all primitive Heronian triangles with perimeter A096468(n).

5, 6, 8, 13, 15, 30, 17, 35, 20, 21, 41, 72, 25, 29, 85, 30, 26, 57, 35, 37, 37, 76, 191, 117, 44, 250, 127, 91, 260, 52, 202, 51, 56, 53, 220, 50, 364, 65, 196, 266, 342, 73, 206, 203, 148, 568, 73, 77, 75, 68, 85, 404, 89, 256, 172, 155, 601, 702, 273, 350, 301, 190, 589

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) = 5; there is one primitive Heronian triangle with perimeter A096468(1) = 12, [3,4,5] and 5 is the largest side length.
a(6) = 30; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13]. The sum of the largest side lengths is then 17 + 13 = 30.

Crossrefs

Cf. A096468, A330874, A334018.

Sequence in context: A184803 A331264 A096467 * A323041 A105830 A067527

Adjacent sequences: A334117 A334118 A334119 * A334121 A334122 A334123

Keyword

nonn

Author

Wesley Ivan Hurt, May 16 2020

Status

approved