A293959 Construct a triangle T(n,k) (0 <= k <= n) of strings of integers, where T(0,0) = {0}, T(n,n) = {n}, and otherwise T(n,k) is the concatenation of T(n-1,k-1) and T(n-1,k). The sequence is obtained by reading across the rows of the triangle, concatenating the successive strings.

0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 3, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 3, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 3, 4, 5, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 3, 0, 0, 1, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 3, 4

Offset: 0

Author

N. J. A. Sloane, Nov 05 2017

Keywords

• nonn
• tabf

Comments

The string T(n,k) contains binomial(n,k) numbers.

Examples

			The first few rows of the triangle (where the strings T(n,k) are shown without spaces for legibility) are:
0,
0,1,
0,01,2,
0,001,012,3,
0,0001,001012,0123,4,
0,00001,0001001012,0010120123,01234,5,
...
		

Crossrefs

Subtracting 1 from each term gives A265754.

Cf. A007318.