A334675 Number of nonprimitive Heronian triangles with mutually distinct side lengths and perimeter A334674(n).

1, 1, 1, 2, 1, 2, 1, 3, 1, 1, 3, 5, 1, 4, 2, 2, 3, 1, 2, 4, 1, 1, 2, 4, 3, 9, 1, 7, 5, 3, 1, 2, 2, 2, 5, 11, 2, 6, 3, 1, 8, 10, 6, 1, 9, 7, 2, 1, 7, 8, 5, 9, 2, 4, 7, 7, 15, 1, 3, 15, 2, 1, 1, 2, 2, 7, 11, 3, 3, 6, 3, 16, 3, 9, 13, 8, 6, 5, 21, 17, 6, 2, 12, 9, 8, 3, 6, 1, 11, 1

Offset

1,4

Links

Table of n, a(n) for n=1..90.

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

Example

a(1) = 1; there is one nonprimitive Heronian triangle with perimeter A334674(1) = 24 whose side lengths are mutually distinct, [6,8,10].
a(2) = 1; there is one nonprimitive Heronian triangle with perimeter A334674(2) = 36 whose side lengths are mutually distinct, [9,12,15].

Crossrefs

Cf. A331366, A334665, A334674.

Sequence in context: A201167 A202853 A228572 * A395312 A078380 A062356

Adjacent sequences: A334672 A334673 A334674 * A334676 A334677 A334678

Keyword

nonn

Author

Wesley Ivan Hurt, May 07 2020

Status

approved