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

1,1

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.

Links

Table of n, a(n) for n=1..45.

Crossrefs

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

Sequence in context: A194768 A217845 A067010 * A029925 A074287 A223589

Adjacent sequences: A332920 A332921 A332922 * A332924 A332925 A332926

Keyword

nonn,fini,full

Author

Hugo Pfoertner, Mar 02 2020

Status

approved