A100197 Numbers of squares in the range [n^3, (n+1)^3].

2, 2, 3, 3, 4, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 7, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 8, 9, 9, 9, 10, 9, 9, 9, 10, 10, 9, 10, 10, 10, 11, 10, 11, 11, 11, 10, 11, 11, 11, 12, 11, 11, 12, 11, 12, 12, 12, 12, 13, 12, 12, 12, 13, 12, 13, 12, 13, 13, 13, 13, 13, 13, 14, 13, 14, 14, 14

Offset: 0

Author

Giovanni Teofilatto, Dec 27 2004

Keywords

• easy
• nonn

Examples

			a(0)=2 because between the cubes 0 and 1 there are exactly 2 squares, {0,1}.
a(1)=2 because between the cubes 1 and 8 there are exactly 2 squares, {1,4}.
		

Programs

Mathematica

Table[ Floor[Sqrt[(n + 1)^3] - Ceiling[Sqrt[n^3]]] + 1, {n, 0, 82}] (* Ray Chandler, Jan 09 2005 *)

Extensions

Corrected and extended by Ray Chandler, Jan 09 2005