A054115 Triangular array generated by its row sums: T(n,0)=1 for n >= 1, T(n,1)=r(n-1), T(n,k)=T(n,k-1)+r(n-k) for k=2,3,...,n, n >= 2, r(h)=sum of the numbers in row h of T.

1, 1, 1, 1, 2, 3, 1, 6, 8, 9, 1, 24, 30, 32, 33, 1, 120, 144, 150, 152, 153, 1, 720, 840, 864, 870, 872, 873, 1, 5040, 5760, 5880, 5904, 5910, 5912, 5913, 1, 40320, 45360, 46080, 46200, 46224, 46230, 46232, 46233, 1, 362880, 403200

Offset: 0

Author

Clark Kimberling

Keywords

• nonn
• tabl
• eigen

Examples

			Rows:
1;
1,1;
1,2,3;
1,6,8,9;
1,24,30,32,33;
1,120,144,150,152,153;
		

Crossrefs

n-th row sum is A000142(n+1) = (n+1)!.

T(n, n)=A007489(n) for n >= 1, T(n+1, 2)=A001048(n)