A128138 A000012 * A128132.

1, 0, 2, 0, 1, 3, 0, 1, 2, 4, 0, 1, 2, 3, 5, 0, 1, 2, 3, 4, 6, 0, 1, 2, 3, 4, 5, 7, 0, 1, 2, 3, 4, 5, 6, 8, 0, 1, 2, 3, 4, 5, 6, 7, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 0, 1, 2, 3

Offset: 1

Author

Gary W. Adamson, Feb 16 2007

Keywords

• nonn
• tabl
• easy

Examples

			First few rows of the triangle are:
1;
0, 2;
0, 1, 3;
0, 1, 2, 4;
0, 1, 2, 3, 5;
0, 1, 2, 3, 4, 6;
0, 1, 2, 3, 4, 5, 7;
...
		

Crossrefs

Cf. A000012, A128132, A000124 (row sums).

Programs

Mathematica

Table[Delete[Range[0, n], -2], {n, 14}] // Flatten (* or *)
Table[If[k == n - 1, k + 1, k], {n, 14}, {k, 0, n - 1}] (* Michael De Vlieger, Apr 26 2016 *)

Formula

A000012 * A128132 as infinite lower triangular matrices.

T(n,n) = n.

T(n,k) = k-1, 0

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