A080573 Number of ways writing n as a sum of two distinct Ulam numbers.

0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 3, 2, 1, 3, 1, 4, 2, 2, 2, 0, 3, 0, 1, 2, 1, 4, 2, 2, 2, 0, 3, 0, 1, 2, 1, 4, 2, 2, 3, 0, 4, 0, 2, 1, 1, 4, 2, 3, 2, 1, 5, 2, 3, 1, 2, 3, 2, 3, 1, 3, 5, 3, 4, 0, 2, 1, 3, 2, 1, 5, 3, 5, 2, 1, 3, 2, 4, 2, 1, 5, 2, 6, 2, 1, 5, 2, 5, 2, 0, 4, 0, 6, 0