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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.
1
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
1,1
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.
FORMULA
a(n) = A352314(n, 1) + A352314(n, 2) + A352314(n, 3).
EXAMPLE
a(1) = 36 because the smallest triple is (10, 10, 16) with corresponding d = OI = A352315(1) = 5.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Bernard Schott, Mar 14 2022
EXTENSIONS
a(19)-a(34) from Jinyuan Wang, Mar 14 2022
STATUS
approved