A332924 6*a(n) are the perimeters of distinct triangles with integer sides i <= j <= k, whose area equals 4 times their perimeter. Terms occurring more than once belong to different triangles.

14, 15, 16, 18, 19, 20, 22, 24, 26, 28, 28, 30, 35, 35, 35, 40, 44, 49, 50, 51, 54, 66, 70, 81, 86, 87, 91, 97, 105, 114, 119, 119, 135, 154, 185, 187, 204, 219, 275, 322, 385, 390, 391, 737, 1430

Offset

1,1

Comments

There are 45 integer-sided triangles with 4*area = perimeter, with terms 28 and 119 corresponding to pairs, and terms 35 to a triple of such triangles with different sides.

Links

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

Crossrefs

The 41 terms of A289220, divided by 24, are all terms of this sequence, but omitting distinct triangles with identical perimeters.

Sequence in context: A297278 A296748 A270042 * A048125 A163482 A257782

Adjacent sequences: A332921 A332922 A332923 * A332925 A332926 A332927

Keyword

nonn,fini,full

Author

Hugo Pfoertner, Mar 02 2020

Status

approved