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A370978 Draw a regular n-gon and the enclosing circle, then for each pair of vertices X, Y, draw a circle with diameter XY; the union of these figures is the graph H_n; sequence gives number of regions in H_n. 4

%I #30 Mar 26 2024 07:30:59

%S 1,3,16,16,81,91,302,272,829,831,1926,1752,3849,3739,6916,6464,11799,

%T 11143,18374,17180,27679,26819,40136,37200,56901,54679,77788,74816,

%U 103821,101071,136928,131776,176683,172143,224036,216936,281201,273867,348700,337520,426073,416683

%N Draw a regular n-gon and the enclosing circle, then for each pair of vertices X, Y, draw a circle with diameter XY; the union of these figures is the graph H_n; sequence gives number of regions in H_n.

%C H_n is the union of the graph G_n defined in A370976 and the polygon through the initial n points.

%H Scott R. Shannon, <a href="/A370978/a370978.gif">Image for n = 3</a>.

%H Scott R. Shannon, <a href="/A370978/a370978_1.gif">Image for n = 5</a>.

%F a(n) = A358782(n) + n if n even, a(n) = A358782(n) + 3*n if n odd.

%Y Cf. A358746, A358782, A358783, A370976, A370977, A370979.

%K nonn

%O 1,2

%A _Scott R. Shannon_ and _N. J. A. Sloane_, Mar 25 2024

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Last modified May 16 00:16 EDT 2024. Contains 372549 sequences. (Running on oeis4.)