A049723 Array T read by diagonals; T(i,j)=number of lattice points (x,y) in closed right half-plane and circle with radius (0,0)-to-(i,j).

1, 4, 4, 9, 6, 9, 18, 13, 13, 18, 29, 22, 15, 22, 29, 46, 33, 26, 26, 33, 46, 63, 50, 39, 35, 39, 50, 63, 82, 67, 54, 46, 46, 54, 67, 82, 107, 88, 71, 60, 56, 60, 71, 88, 107, 136, 115, 96, 79, 75, 75, 79, 96, 115, 136, 169, 140, 119, 100

Offset: 0

Author

Clark Kimberling

Keywords

• nonn
• tabl

Comments

Specifically, -i<=x<=i, 0<=y<=j, x^2 + y^2 <= i^2 + j^2.

Examples

			Diagonals (each starting on row 1): {1}; {4,4}; {9,6,9}; ...
		

Crossrefs

T(n, 0)=A036695(n).