A359571 Number of (curved) edges after n iterations of constructing circles from all current vertices using only a compass, starting with one vertex. See the Comments.

0, 1, 6, 34, 13730

Offset

1,3

Comments

See A359569 and A359570 for further details and images.

Links

Table of n, a(n) for n=1..5.

Formula

For n >= 3, a(n) = A359569(n) + A359570(n) - 1 by Euler's formula.

Crossrefs

Cf. A359569 (vertices), A359570 (regions), A359619 (k-gons), A359254, A359047, A358783.

Sequence in context: A003423 A230936 A230941 * A145000 A354792 A209182

Adjacent sequences: A359568 A359569 A359570 * A359572 A359573 A359574

Keyword

nonn,more,hard

Author

Scott R. Shannon, Jan 06 2023

Status

approved