A331366 Number of Heronian triangles with mutually distinct side lengths and perimeter A334665(n).

1, 1, 1, 1, 2, 1, 2, 1, 2, 3, 1, 3, 2, 1, 1, 2, 3, 1, 1, 3, 8, 1, 4, 4, 3, 1, 2, 10, 1, 5, 1, 5, 3, 6, 1, 9, 2, 5, 6, 6, 2, 3, 5, 6, 8, 1, 10, 1, 1, 1, 6, 8, 3, 2, 2, 12, 8, 4, 6, 5, 4, 11, 14, 5, 1, 11, 7, 3, 1, 6, 1, 2, 14, 11, 1, 9, 14, 11, 1, 4, 11, 3, 1, 11, 4, 2, 7, 4, 12

Offset

1,5

Links

Table of n, a(n) for n=1..89.

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

Example

a(1) = 1; there is one Heronian triangle with perimeter A334665(1) = 12 such that all side lengths are mutually distinct, [3,4,5].
a(4) = 1; there is one Heronian triangle with perimeter A334665(4) = 32 such that all side lengths are mutually distinct, [4,13,15].

Crossrefs

Cf. A051516, A051518, A334665.

Sequence in context: A353171 A182628 A361477 * A274225 A028334 A083269

Adjacent sequences: A331363 A331364 A331365 * A331367 A331368 A331369

Keyword

nonn

Author

Wesley Ivan Hurt, May 07 2020

Status

approved