A001906 records the partial sums of the column sequence A001519 and is also the row sum of A078812 and of A085643; sequences linking a(n) to compositions of n having k parts when there are q kinds of part q. - Alford Arnold (Alford1940(AT)aol.com), Apr 30 2006
EXAMPLE
The array begins:
1
..2
....2
....3
......2
......4..3
......4
.........2
.........4..4..3
.........6..6..4
.........5
with column sums beginning 1 2 5 10 20 ...A000712 related to A000041
and sums over each template beginning 1 2 5 13 34 ...A001519 related to A000045