A334928 Sum of the odd side lengths of all primitive Heronian triangles with perimeter A096468(n).
8, 10, 10, 18, 28, 52, 32, 50, 24, 38, 60, 104, 32, 54, 118, 36, 42, 92, 64, 56, 52, 114, 308, 154, 52, 362, 196, 128, 360, 58, 300, 76, 64, 98, 336, 80, 542, 116, 286, 398, 472, 92, 296, 296, 236, 790, 114, 128, 136, 104, 114, 584, 130, 352, 242, 274, 972, 1074, 446, 572, 360
Offset: 1
Keywords
Examples
a(1) = 8; there is one primitive Heronian triangle with perimeter A096468(1) = 12, which is [3,4,5] and the sum of its odd side lengths is 3 + 5 = 8. a(6) = 52; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13]. The sum of the odd side lengths is 9 + 17 + 13 + 13 = 52.
Links
- Eric Weisstein's World of Mathematics, Heronian Triangle
- Wikipedia, Heronian triangle
- Wikipedia, Integer Triangle