A347731 Number of compositions (ordered partitions) of n into at most 3 triangular numbers.

1, 1, 1, 2, 2, 3, 2, 5, 3, 3, 7, 2, 7, 5, 6, 4, 7, 9, 3, 12, 1, 9, 11, 6, 8, 8, 9, 8, 13, 2, 11, 13, 12, 6, 11, 9, 6, 20, 5, 14, 12, 9, 12, 11, 12, 11, 16, 9, 11, 20, 6, 10, 27, 6, 12, 9, 12, 20, 17, 15, 8, 23, 9, 13, 14, 11, 21, 23, 9, 8, 23, 15, 18, 17, 12, 15