A054144 Triangular array T: put T(n,0)=n for all n >= 0 and all other T(n,k)=0; then put T(n,k)=Sum{T(i,j): 0<=j<=i-n+k, n-k<=i<=n}.

0, 1, 1, 2, 3, 7, 3, 5, 14, 36, 4, 7, 21, 60, 164, 5, 9, 28, 84, 246, 700, 6, 11, 35, 108, 328, 980, 2868, 7, 13, 42, 132, 410, 1260, 3824, 11424, 8, 15, 49, 156, 492, 1540, 4780, 14688, 44576, 9, 17, 56, 180, 574, 1820, 5736, 17952, 55720, 171216

Offset: 0

Author

Clark Kimberling, Mar 18 2000

Keywords

• nonn
• tabl

Comments

The main diagonal is A181292. The triangle below the main diagonal is A053199 which starts with T(n,0) = n + 1 instead of T(n,0) = n here. - Georg Fischer, Nov 16 2021

Examples

			Rows: {0}, {1,1}, {2,3,7}, {3,5,14,36}, ...
		

Crossrefs

Cf. A053199, A181292.