A121502 Companion sequence for A121501 used in a unit circle area approximation problem.

3, 4, 5, 6, 8, 10, 11, 12, 13, 15, 22, 27, 34, 46, 58, 63, 70, 75, 87, 128, 157, 198

Offset: 1

Author

Wolfdieter Lang, Aug 16 2006

Keywords

• nonn
• more

Comments

The pairs (n(k),m(k)):=(A121501(k),a(k)), k>=1, lead to a strictly decreasing sequence of relative errors E(n(k),m(k)) in the circle area approximation problem described in A121500. For each k=1,2,... the unit circle has inscribed n(k)-gon and circumscribed m(k)-gon.

For the sequence of relative errors E(n(k),m(k)), k=1..20 see the W. Lang link in A121501.

Examples

			(n(k),m(k)) pairs (A121501(k),a(k)), for k=1..7: [3, 3], [5, 4], [6, 5], [8, 6], [11, 8], [14, 10], [15, 11].
		

Formula

a(k) = A121500(A121501(k)), k>=1.