A374339 Start with two vertices and draw a circle around each whose radius is the distance between the vertices. The sequence gives the number of curved edges constructed after n iterations of drawing circles with this same radius around every new vertex created from all circles' intersections.

6, 18, 40, 78, 132, 190, 264, 354, 448, 558, 684, 814, 960, 1122, 1288, 1470, 1668, 1870, 2088, 2322, 2560, 2814, 3084, 3358, 3648, 3954, 4264, 4590, 4932, 5278, 5640, 6018, 6400, 6798, 7212, 7630, 8064, 8514, 8968, 9438, 9924, 10414, 10920, 11442, 11968, 12510, 13068, 13630, 14208, 14802

Offset

1,1

Comments

See A374338 for further details and images.

Links

Table of n, a(n) for n=1..50.

Formula

a(n) = A374337(n) + A374338(n) - 1, by Euler's formula.

Crossrefs

Cf. A374337 (regions), A374338 (vertices), A359571, A371375, A371255.

Sequence in context: A023658 A059834 A299263 * A015224 A163983 A191829

Adjacent sequences: A374336 A374337 A374338 * A374340 A374341 A374342

Keyword

nonn

Author

Scott R. Shannon, Jul 05 2024

Status

approved