A332923 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.

32, 34, 35, 35, 36, 40, 42, 44, 45, 54, 55, 56, 56, 63, 64, 68, 70, 76, 76, 77, 80, 84, 87, 90, 91, 91, 104, 115, 119, 130, 132, 140, 146, 161, 165, 196, 208, 220, 230, 301, 399, 410, 520, 741, 1406

Offset: 1

Author

Hugo Pfoertner, Mar 02 2020

Keywords

• nonn
• fini
• full

Comments

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.

Crossrefs

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