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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
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
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.)