A070138 - OEIS

A070138

Number of integer triangles with an integer area having relatively prime sides a, b and c such that a + b + c = n.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 3, 0, 1, 0, 0, 0, 1, 0, 0, 0, 3, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 5, 0, 0, 0, 0, 0, 3

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OFFSET

1,36

COMMENTS

From Peter Kagey, Jan 30 2018: (Start)

a(k) > 0 if and only if k is in A096468.

Records appear at indices 12, 36, 54, 84, 98, 162, 242, 338, 484, 578, ....

a(2k - 1) = 0 for all integers k > 0.

(End)

LINKS

Peter Kagey, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Heronian Triangle.