A371375 - OEIS

A371375

Place n equally space points around the circumference of a circle and then, for each pair of points, draw two distinct circles, whose radii are the same as the first circle, such that both points lie on their circumferences. The sequence gives the total number of (curved) edges formed.

1, 2, 12, 12, 75, 66, 350, 360, 1071, 1150, 2684, 2148, 5603, 5950, 10110, 10928, 18309, 16830, 29564, 30500, 44961, 46882, 66746, 64872, 95125, 97786, 131112, 135156, 177567, 169770, 235042, 240928, 304359, 312086, 389340, 388764, 491175, 503158, 610662, 624280, 752145, 749742, 917276

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

See A371373 and A371374 for images of the graphs.

LINKS

Table of n, a(n) for n=1..43.

FORMULA

a(n) = A371373(n) + A371374(n) - 1 by Euler's formula.

CROSSREFS

Cf. A371373 (vertices), A371374 (regions), A371376 (k-gons), A371377 (vertex crossings), A371255, A135565, A358783, A359047.

Sequence in context: A045895 A251421 A226393 * A198532 A198477 A075178

Adjacent sequences: A371372 A371373 A371374 * A371376 A371377 A371378

KEYWORD

nonn

AUTHOR

Scott R. Shannon, Mar 20 2024

STATUS

approved