A371255 Number of (curved) edges formed when n equally spaced points are placed around a circle and all pairs of points are joined by an interior arc whose radius equals the circle's radius.

1, 2, 9, 8, 40, 24, 168, 152, 477, 490, 1199, 912, 2418, 2464, 4230, 4464, 7769, 6894, 12369, 12400, 18606, 19008, 27784, 26376, 39575, 39390, 54027, 54432, 73254, 68340, 96410, 96800, 124443, 125222, 159005, 156168, 200540, 201932, 248508, 250120

Offset

1,2

Comments

See A371253 and A371254 for images of the circles.

Links

Table of n, a(n) for n=1..40.

Formula

a(n) = A371253(n) + A371254(n) - 1 by Euler's formula.

Crossrefs

Cf. A371253 (regions), A371254 (vertices), A371274 (k-gons), A135565, A358783, A359047, A359254.

Sequence in context: A129194 A300780 A272347 * A214300 A092397 A272348

Adjacent sequences: A371252 A371253 A371254 * A371256 A371257 A371258

Keyword

nonn

Author

Scott R. Shannon, Mar 16 2024

Status

approved