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A358408 Number of vertices 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. 3
4, 8, 32, 144, 468, 1160, 2512, 4836, 8468, 13760, 21784, 31168, 46596, 64760, 86912, 114656, 154400, 194116, 253160, 310408, 382712, 469296, 580688, 677656, 822928, 969880, 1141112, 1319984, 1566512, 1755032, 2080376, 2349188, 2686452, 3052184, 3450348, 3800756, 4387404, 4880560, 5443192 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
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.
FORMULA
a(n) = A358409(n) - A358407(n) + 1 by Euler's formula.
CROSSREFS
Cf. A358407 (regions), A358409 (edges), A355799, A331449.
Sequence in context: A247938 A072868 A075398 * A098579 A261196 A222537
KEYWORD
nonn
AUTHOR
Scott R. Shannon, Nov 14 2022
STATUS
approved

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Last modified July 23 04:43 EDT 2024. Contains 374544 sequences. (Running on oeis4.)