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

1,1

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.

Links

Table of n, a(n) for n=1..22.

Formula

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

Example

(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].

Crossrefs

Sequence in context: A098171 A039031 A047309 * A180644 A202110 A267858

Adjacent sequences: A121499 A121500 A121501 * A121503 A121504 A121505

Keyword

nonn,more

Author

Wolfdieter Lang, Aug 16 2006

Status

approved