A123682 First 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, 1, 1, 0, 2, 2, 1, 1, 1, 3, 3, 1, 0, 2, 2, 4, 4, 1, 1, 1, 3, 3, 5, 5, 1, 0, 2, 2, 4, 4, 6, 6, 1, 1, 1, 3, 3, 5, 5, 7, 7, 1

Offset

1,8

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,...

Links

Table of n, a(n) for n=1..45.

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
...

Crossrefs

Cf. A059841 A001045 A123640.

Sequence in context: A321393 A058914 A238585 * A134513 A275648 A201881

Adjacent sequences: A123679 A123680 A123681 * A123683 A123684 A123685

Keyword

nonn,tabf

Author

Alford Arnold, Oct 06 2006

Status

approved