A057671 a(n) equals floor(Vc(n) - Vs(n)), where Vc(n) is the volume of the cube with side length n and Vs(n) is the volume of the sphere of diameter n.

0, 3, 12, 30, 59, 102, 163, 243, 347, 476, 634, 823, 1046, 1307, 1607, 1951, 2340, 2778, 3267, 3811, 4411, 5072, 5796, 6585, 7443, 8373, 9377, 10457, 11618, 12862, 14192, 15610, 17120, 18724, 20425, 22226, 24131

Offset: 1

Author

seiringer.flor(AT)eudoramail.com, Oct 18 2000

Keywords

• nonn

Examples

			a(7)=163 because 163=floor(7^3*(1-Pi/6)).
		

Crossrefs

Cf. A057672.

Programs

Mathematica

Table[Floor[n^3 (1-\[Pi]/6)],{n,40}]  (* Harvey P. Dale, Apr 24 2011 *)

Formula

a(n) = floor(n^3*(1-Pi/6)).

Extensions

Edited by James Sellers, Oct 20 2000