A359047 - OEIS

%I #15 Dec 15 2022 06:47:51

%S 1,4,12,84,120,330,504,1240,1332,2850,3696,5172,7176,10906,12660,

%T 19280,22440,28494,35796,46220,52752,68662,79488,91272,111000,136838,

%U 149472,181972,204972,229650,268212,317024,343860,404090,441420,496764,553224,636538,679224,776200,839844,914634,1017036

%N Number of distinct edges among all circles that can be constructed on vertices of an n-sided regular polygon, using only a compass.

%C See A331702 and A359046 for further details and images.

%C No formula for a(n) is currently known.

%F a(n) = A331702(n) + A359046(n) - 1 by Euler's formula.

%Y Cf. A331702 (vertices), A359046 (regions), A359061 (k-gons), A358783, A135565.

%K nonn

%O 1,2

%A _Scott R. Shannon_, Dec 14 2022