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A358409 Number of edges 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. 2
4, 12, 68, 316, 1020, 2524, 5420, 10348, 18044, 29244, 45940, 66188, 97796, 135772, 182532, 240932, 321612, 405852, 525184, 646088, 796388, 974740, 1199244, 1407140, 1700944, 2004576, 2356296, 2729256, 3221296, 3630296, 4272656, 4835984, 5522768, 6269016, 7084056, 7835068, 8987192, 10005400 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
See A358407 and A358408 for images of the square.
LINKS
FORMULA
a(n) = A358407(n) + A358408(n) - 1 by Euler's formula.
CROSSREFS
Cf. A358407 (regions), A358408 (vertices), A355800, A331448.
Sequence in context: A339134 A000843 A369284 * A180386 A302434 A121771
KEYWORD
nonn
AUTHOR
Scott R. Shannon, Nov 14 2022
STATUS
approved

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Last modified June 13 08:31 EDT 2024. Contains 373383 sequences. (Running on oeis4.)