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 A358407 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 each of the two adjacent edges of the square. 6
 1, 5, 37, 173, 553, 1365, 2909, 5513, 9577, 15485, 24157, 35021, 51201, 71013, 95621, 126277, 167213, 211737, 272025, 335681, 413677, 505445, 618557, 729485, 878017, 1034697, 1215185, 1409273, 1654785, 1875265, 2192281, 2486797, 2836317, 3216833, 3633709, 4034313, 4599789, 5124841 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..38. 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 = 10. Scott R. Shannon, Image for n = 20. FORMULA a(n) = A358409(n) - A358408(n) + 1 by Euler's formula. CROSSREFS Cf. A358408 (vertices), A358409 (edges), A355798, A255011. Sequence in context: A144954 A305861 A146195 * A273213 A273275 A270291 Adjacent sequences: A358404 A358405 A358406 * A358408 A358409 A358410 KEYWORD nonn AUTHOR Scott R. Shannon, Nov 14 2022 STATUS approved

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Last modified July 19 17:03 EDT 2024. Contains 374410 sequences. (Running on oeis4.)