A331368 Number of primitive Heronian triangles with mutually distinct side lengths and perimeter A331367(n).

1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 5, 3, 1, 3, 1, 2, 5, 1, 4, 1, 1, 1, 4, 1, 6, 1, 3, 2, 5, 1, 3, 3, 2, 5, 1, 1, 1, 1, 1, 5, 1, 3, 2, 2, 7, 5, 3, 4, 3, 2, 6, 3, 3, 1, 5, 4, 3, 1, 5, 1, 2, 6, 11, 1, 9, 4, 5, 1, 3, 2, 3, 1, 4, 2, 1, 4, 4, 2, 1, 13, 2, 8, 2, 7

Offset

1,6

Links

Table of n, a(n) for n=1..93.

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

Example

a(1) = 1; there is one primitive Heronian triangle with perimeter A331367(1) = 12 whose side lengths are mutually distinct, [3,4,5].
a(2) = 1; there is one primitive Heronian triangle with perimeter A331367(2) = 30 whose side lengths are mutually distinct, [5,12,13].

Crossrefs

Cf. A096468, A331367.

Sequence in context: A202241 A248156 A352780 * A106177 A211985 A211009

Adjacent sequences: A331365 A331366 A331367 * A331369 A331370 A331371

Keyword

nonn

Author

Wesley Ivan Hurt, May 07 2020

Status

approved