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 A331931 The number of regions inside a hexagon formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts. 12
 24, 408, 2268, 8208, 20832, 44640, 89214, 154752, 249906, 390012, 590658, 824712, 1183704, 1580868, 2067162, 2770476, 3585582, 4397172, 5665818, 6827736, 8318976, 10209948, 12364098, 14395164, 17194230, 20216808, 23436612, 27124416, 31817676, 35516328 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The terms are from numeric computation - no formula for a(n) is currently known. LINKS Scott R. Shannon, Hexagon regions for n = 1. Scott R. Shannon, Hexagon regions for n = 2. Scott R. Shannon, Hexagon regions for n = 3. Scott R. Shannon, Hexagon regions for n = 4. Scott R. Shannon, Hexagon regions for n = 5. Scott R. Shannon, Hexagon regions for n = 6. Scott R. Shannon, Hexagon regions for n = 7. Scott R. Shannon, Hexagon regions for n = 8. Scott R. Shannon, Hexagon regions for n = 5, with random distance-based coloring. Scott R. Shannon, Hexagon regions for n = 6, with random distance-based coloring. Wikipedia, Hexagon. CROSSREFS Cf. A331932 (n-gons), A330845 (edges), A330846 (vertices), A007678, A092867, A331452, A331929. Sequence in context: A018206 A021304 A018092 * A227750 A221619 A267166 Adjacent sequences:  A331928 A331929 A331930 * A331932 A331933 A331934 KEYWORD nonn AUTHOR Scott R. Shannon and N. J. A. Sloane, Feb 01 2020 EXTENSIONS a(9)-a(30) from Lars Blomberg, May 12 2020 STATUS approved

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Last modified September 26 02:28 EDT 2020. Contains 337346 sequences. (Running on oeis4.)