A331366 - OEIS

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

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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