A048505 Array T read by diagonals, n-th difference of (T(k,n),T(k,n-1),...,T(k,0)) is (k+n)^2, for n=1,2,3,...; k=0,1,2,...

1, 2, 1, 7, 5, 1, 25, 18, 10, 1, 81, 56, 35, 17, 1, 241, 160, 101, 58, 26, 1, 673, 432, 269, 160, 87, 37, 1, 1793, 1120, 685, 408, 233, 122, 50, 1, 4609, 2816, 1693, 1000, 577, 320, 163, 65, 1, 11521, 6912, 4093, 2392, 1377, 776, 421

Offset: 0

Author

Clark Kimberling

Keywords

• nonn
• tabl

Examples

			Diagonals: {1}; {2,1}; {7,5,1}; ...
		

Crossrefs

Row 2 = (1, 5, 18, 56, 160, ...) = A001793.

Formula

T(k, n) = (n^2 + (4k+1)n + (2k)^2) * 2^(n-2) - k^2 + 1. - Ralf Stephan, Feb 05 2004