|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
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
|
|
|
CROSSREFS
|
The 77 terms of A289253, divided by 42, are all terms of this sequence, but omitting distinct triangles with identical perimeters.
|
|
KEYWORD
|
nonn,fini,full
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|