A359047 Number of distinct edges among all circles that can be constructed on vertices of an n-sided regular polygon, using only a compass.

1, 4, 12, 84, 120, 330, 504, 1240, 1332, 2850, 3696, 5172, 7176, 10906, 12660, 19280, 22440, 28494, 35796, 46220, 52752, 68662, 79488, 91272, 111000, 136838, 149472, 181972, 204972, 229650, 268212, 317024, 343860, 404090, 441420, 496764, 553224, 636538, 679224, 776200, 839844, 914634, 1017036

Offset

1,2

Comments

See A331702 and A359046 for further details and images.

No formula for a(n) is currently known.

Links

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

Formula

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

Crossrefs

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

Sequence in context: A362384 A305334 A205337 * A263866 A208802 A226960

Adjacent sequences: A359044 A359045 A359046 * A359048 A359049 A359050

Keyword

nonn

Author

Scott R. Shannon, Dec 14 2022

Status

approved