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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.
1
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
1,5
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,...
EXAMPLE
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
...
KEYWORD
nonn,tabf
AUTHOR
Alford Arnold, Oct 06 2006, Oct 19 2006
STATUS
approved