A352316 Perimeter of primitive integer-sided triangles such that the distance d = OI between the circumcenter O and the incenter I is also a positive integer.

36, 128, 120, 288, 360, 500, 1008, 972, 1024, 1500, 1152, 1372, 2520, 3072, 2520, 3960, 4000, 4116, 4860, 5040, 4500, 5760, 6860, 5324, 6804, 6435, 8000, 7776, 8192, 10920, 8788, 9216, 10395, 10976

Offset: 1

Author

Bernard Schott, Mar 14 2022

Keywords

• nonn
• more

Comments

For the corresponding primitive triples, miscellaneous properties and links, see A352314.

The sequence is not increasing. For example, a(2) = 128 for triangle with largest side = 48 while a(3) = 120 for triangle with largest side = 55.

Examples

			a(1) = 36 because the smallest triple is (10, 10, 16) with corresponding d = OI = A352315(1) = 5.
		

Crossrefs

Cf. A231174, A350378, A350379, A352314, A352315.

Formula

a(n) = A352314(n, 1) + A352314(n, 2) + A352314(n, 3).

Extensions

a(19)-a(34) from Jinyuan Wang, Mar 14 2022