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 A370976 Let G_n denote the planar graph defined in A358746 with the addition, if n is odd, of the circle containing the initial n points; sequence gives the number of regions in G_n. 7
 1, 1, 10, 12, 71, 85, 288, 264, 811, 821, 1904, 1740, 3823, 3725, 6886, 6448, 11765, 11125, 18336, 17160, 27637, 26797, 40090, 37176, 56851, 54653, 77734, 74788, 103763, 101041, 136866, 131744, 176617, 172109, 223966, 216900, 281127, 273829, 348622, 337480, 425991, 416641 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS If n is even the circle through the initial n points is already part of the graph. In other words, draw a circle and place n equally spaced points around it; for each pair of poins X, Y, draw a circle with diameter XY; the union of these circles is the graph G_n. For the numbers of vertices and edges in G_n see A358746 and A370977. For other images for n even, see A358782 (for even n, A358782 and the present sequence agree). LINKS Table of n, a(n) for n=1..42. Scott R. Shannon, Image for n = 3. Scott R. Shannon, Image for n = 4. Scott R. Shannon, Image for n = 6. Scott R. Shannon, Image for n = 7. Scott R. Shannon, Image for n = 8. Scott R. Shannon, Image for n = 11. FORMULA a(n) = A358782(n) if n even, a(n) = A358782(n) + n if n odd. CROSSREFS Cf. A358746, A358782, A358783, A370977, A370978, A370979. Sequence in context: A337076 A223150 A333258 * A241252 A336892 A301905 Adjacent sequences: A370973 A370974 A370975 * A370977 A370978 A370979 KEYWORD nonn AUTHOR Scott R. Shannon and N. J. A. Sloane, Mar 25 2024 STATUS approved

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Last modified June 13 03:56 EDT 2024. Contains 373366 sequences. (Running on oeis4.)