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6*a(n) are the perimeters of distinct triangles with integer sides i <= j <= k, whose area equals 5 times their perimeter. Terms occurring more than once belong to different triangles.
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%I #6 Mar 02 2020 18:53:59

%S 18,20,21,22,22,25,27,28,28,30,31,35,36,44,46,50,52,53,58,68,68,69,76,

%T 77,77,84,86,99,105,108,124,134,145,151,154,182,182,209,210,242,252,

%U 260,266,391,407,468,629,742,901,910,1751,3434

%N 6*a(n) are the perimeters of distinct triangles with integer sides i <= j <= k, whose area equals 5 times their perimeter. Terms occurring more than once belong to different triangles.

%C There are 52 integer-sided triangles with 5*area = perimeter, with terms 22, 28, 68, 77, and 182 corresponding to pairs of such triangles with different sides.

%Y The 47 terms of A289221, divided by 30, 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