A332925 6*a(n) are the perimeters of distinct triangles with integer sides i <= j <= k, whose area equals 5 times their perimeter. Terms occurring more than once belong to different triangles.

18, 20, 21, 22, 22, 25, 27, 28, 28, 30, 31, 35, 36, 44, 46, 50, 52, 53, 58, 68, 68, 69, 76, 77, 77, 84, 86, 99, 105, 108, 124, 134, 145, 151, 154, 182, 182, 209, 210, 242, 252, 260, 266, 391, 407, 468, 629, 742, 901, 910, 1751, 3434

Offset

1,1

Comments

There are 52 integer-sided triangles with 5*area = perimeter, with terms 22, 28, 68, 77, and 182 corresponding to pairs of such triangles with different sides.

Links

Table of n, a(n) for n=1..52.

Crossrefs

The 47 terms of A289221, divided by 30, are all terms of this sequence, but omitting distinct triangles with identical perimeters.

Sequence in context: A041682 A265946 A027888 * A333973 A027887 A088383

Adjacent sequences: A332922 A332923 A332924 * A332926 A332927 A332928

Keyword

nonn,fini,full

Author

Hugo Pfoertner, Mar 02 2020

Status

approved