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 A355798 Number of regions formed in a square by straight line segments when connecting the n-1 points between each corner that divide each edge into n equal parts to the n-1 points on the edge on the opposite side of the square. 13
 1, 4, 24, 104, 316, 712, 1588, 2816, 4940, 7672, 12444, 16840, 25968, 34088, 46260, 61048, 82792, 98984, 133032, 156072, 196236, 239048, 298292, 334032, 417072, 483856, 570200, 649816, 786412, 850000, 1037628, 1145424, 1311536, 1485880, 1677660, 1828360, 2158192, 2357376, 2623604, 2852688 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Scott R. Shannon, Image for n = 2. Scott R. Shannon, Image for n = 3. Scott R. Shannon, Image for n = 4. Scott R. Shannon, Image for n = 5. 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 = 16. FORMULA a(n) = A355800(n) - A355799(n) + 1 by Euler's formula. CROSSREFS Cf. A355799 (vertices), A355800 (edges), A355801 (k-gons), A255011 (all vertices), A290131, A331452, A335678. Sequence in context: A260217 A048806 A043009 * A006736 A165752 A166036 Adjacent sequences: A355795 A355796 A355797 * A355799 A355800 A355801 KEYWORD nonn AUTHOR Scott R. Shannon, Jul 17 2022 STATUS approved

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Last modified December 7 12:27 EST 2022. Contains 358656 sequences. (Running on oeis4.)