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

Author

Scott R. Shannon, Jul 05 2024

Keywords

• nonn

Comments

See A374338 for further details and images.

Crossrefs

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

Formula

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