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2*a(n) are the perimeters of distinct triangles with integer sides i <= j <= k, whose area equals 3 times their perimeter. Terms occurring more than once belong to different triangles.
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%I #5 Mar 02 2020 18:53:41

%S 32,34,35,35,36,40,42,44,45,54,55,56,56,63,64,68,70,76,76,77,80,84,87,

%T 90,91,91,104,115,119,130,132,140,146,161,165,196,208,220,230,301,399,

%U 410,520,741,1406

%N 2*a(n) are the perimeters of distinct triangles with integer sides i <= j <= k, whose area equals 3 times their perimeter. Terms occurring more than once belong to different triangles.

%C There are 45 integer-sided triangles with 3*area = perimeter, with terms 35, 56, 76, and 91 corresponding to pairs of such triangles with different sides.

%Y The 41 terms of A289219, divided by 6, are all terms of this sequence, but omitting distinct triangles with identical perimeters.

%K nonn,fini,full

%O 1,1

%A _Hugo Pfoertner_, Mar 02 2020