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A176919
Triangle by columns: (1, 2, 3, ...) in each column interleaved with (0, 1, 2, ...) zeros. Columns > 1 shifted down twice.
1
1, 2, 0, 3, 1, 0, 4, 0, 0, 0, 5, 2, 1, 0, 0, 6, 0, 0, 0, 0, 0, 7, 3, 0, 1, 0, 0, 0, 8, 0, 2, 0, 0, 0, 0, 0, 9, 4, 0, 0, 1, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 5, 3, 2, 0, 1, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
OFFSET
1,2
COMMENTS
Row sums of n-th row = A065608(n+1).
FORMULA
Triangle, left border = (1, 2, 3, ...). Each successive column is shifted down twice from previous column and interleaved with k zeros.
EXAMPLE
First few rows of the triangle:
1;
2, 0;
3, 1, 0;
4, 0, 0, 0;
5, 2, 1, 0, 0;
6, 0, 0, 0, 0, 0;
7, 3, 0, 1, 0, 0, 0;
8, 0, 2, 0, 0, 0, 0, 0;
9, 4, 0, 0, 1, 0, 0, 0, 0;
10, 0, 0, 0, 0, 0, 0, 0, 0, 0;
11, 5, 3, 2, 0, 1, 0, 0, 0, 0, 0;
12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0;
13, 6, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0;
14, 0, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0;
15, 7, 0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0;
16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0;
17, 8, 5, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0;
18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0;
19, 9, 0, 4, 3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0;
...
CROSSREFS
Cf. A065608.
Sequence in context: A054372 A070679 A177443 * A220645 A127374 A098862
KEYWORD
nonn,tabl
AUTHOR
STATUS
approved