A123683 Second in an infinite series of triangular arrays which, when taken together, sum to 1,1,3,5,11,21,43,85,..., cf. A001045.

0, 1, 1, 0, 4, 3, 1, 2, 9, 6, 0, 4, 6, 16, 10, 1, 2, 9, 12, 25, 15, 0, 4, 6, 16, 20, 36, 21, 1, 2, 9, 12, 25, 30, 49, 28

Offset: 1

Author

Alford Arnold, Oct 06 2006, Oct 19 2006

Keywords

• nonn
• tabf

Comments

The starting row for each triangle is determined by the applicable source integer partition; thus for partitions 1,22,33,222,44,332,2222,333,... the starting rows are 1,4,6,6,8,8,8,9,...

Examples

			Summing the row sums of the triangular arrays we have
1 1
1 1
3 3
5 5 0
11 9 2
21 13 7 1 0
43 19 18 4 2
85 25 36 12 10 2
...
		

Crossrefs

Cf. A000041 A059841 A000217 A000290 A001045 A123640 A123682.

Cf. A000035 A002378.