A130743 Triangle related to super-Catalan numbers (or little Schroeder numbers).

1, 1, 1, 2, 3, 3, 4, 8, 11, 11, 8, 20, 34, 45, 45, 16, 48, 96, 152, 197, 197, 32, 112, 256, 464, 706, 903, 903, 64, 256, 656, 1328, 2276, 3376, 4279, 4279, 128, 576, 1632, 3632, 6856, 11332, 16514, 20793, 20793, 256, 1280, 3968, 9600, 19680, 35488, 57184

Offset: 0

Author

Philippe Deléham, Jul 12 2007

Keywords

• nonn
• tabl

Examples

			Triangle begins:
1;
1, 1;
2, 3, 3;
4, 8, 11, 11;
8, 20, 34, 45, 45;
16, 48, 96, 152, 197, 197;
32, 112, 256, 464, 706, 903, 903:
64, 256, 656, 1328, 2276, 3376, 4279, 4279;
128, 576, 1632, 3632, 6856, 11332, 16514, 20793, 20793 ;...
		

Formula

T(n,k)=Sum_{m,j,mn . T(n,n)=A001003(n) . T(n,0)=A011782(n). T(n,1)=A001792(n-1) for n>=1 . T(n,2)=A084266(n-1) for n>=2 .