A048494 Array T(k,n) read by antidiagonals: T(n,k) = 2^(n-1) * ((k+1)*n - 2k) + k + 1.

1, 2, 1, 5, 2, 1, 13, 6, 2, 1, 33, 18, 7, 2, 1, 81, 50, 23, 8, 2, 1, 193, 130, 67, 28, 9, 2, 1, 449, 322, 179, 84, 33, 10, 2, 1, 1025, 770, 451, 228, 101, 38, 11, 2, 1, 2305, 1794, 1091, 580, 277, 118, 43, 12, 2, 1, 5121, 4098, 2563, 1412, 709

Offset: 0

Author

Clark Kimberling

Keywords

• nonn
• tabl

Comments

n-th difference of (T(k,n),T(k,n-1),...,T(k,0)) is 1+(n-1)*(k+1), for n=1,2,3,...; k=0,1,2,...

Examples

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

Crossrefs

Row 1 = (1, 2, 5, 13, 33, ...) = A005183.

Extensions

Formula from Ralf Stephan, Jan 15 2004