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A359047
Number of distinct edges among all circles that can be constructed on vertices of an n-sided regular polygon, using only a compass.
8
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.
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
KEYWORD
nonn
AUTHOR
Scott R. Shannon, Dec 14 2022
STATUS
approved