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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.
1
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.
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
KEYWORD
nonn,fini,full
AUTHOR
Hugo Pfoertner, Mar 02 2020
STATUS
approved