A332927 6*a(n) are the perimeters of distinct triangles with integer sides i <= j <= k, whose area equals 7 times their perimeter. Terms occurring more than once belong to different triangles.

27, 28, 32, 33, 35, 38, 40, 42, 44, 44, 45, 48, 49, 52, 55, 57, 60, 62, 68, 70, 72, 80, 88, 90, 90, 92, 96, 101, 104, 108, 115, 126, 132, 136, 143, 145, 148, 149, 155, 158, 160, 161, 171, 176, 185, 192, 205, 205, 235, 236, 262, 270, 295, 304, 340, 348, 365, 396, 410, 477, 500, 535, 550, 600, 721, 750, 884, 900, 938, 957, 1023, 1055, 1287, 1700, 1972, 2277, 3333, 3350, 6567, 13002

Offset

1,1

Comments

There are 80 integer-sided triangles with 7*area = perimeter, with terms 44, 90, and 205 corresponding to pairs of such triangles with different sides.

Links

Table of n, a(n) for n=1..80.

Crossrefs

The 77 terms of A289253, divided by 42, are all terms of this sequence, but omitting distinct triangles with identical perimeters.

Sequence in context: A031957 A350769 A258267 * A031171 A106126 A069551

Adjacent sequences: A332924 A332925 A332926 * A332928 A332929 A332930

Keyword

nonn,fini,full

Author

Hugo Pfoertner, Mar 02 2020

Status

approved