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%I #8 Mar 16 2022 03:22:22
%S 36,128,120,288,360,500,1008,972,1024,1500,1152,1372,2520,3072,2520,
%T 3960,4000,4116,4860,5040,4500,5760,6860,5324,6804,6435,8000,7776,
%U 8192,10920,8788,9216,10395,10976
%N 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.
%C For the corresponding primitive triples, miscellaneous properties and links, see A352314.
%C 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.
%F a(n) = A352314(n, 1) + A352314(n, 2) + A352314(n, 3).
%e a(1) = 36 because the smallest triple is (10, 10, 16) with corresponding d = OI = A352315(1) = 5.
%Y Cf. A231174, A350378, A350379, A352314, A352315.
%K nonn,more
%O 1,1
%A _Bernard Schott_, Mar 14 2022
%E a(19)-a(34) from _Jinyuan Wang_, Mar 14 2022