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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 Table of n, a(n) for n=1..39. 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 Adjacent sequences: A358405 A358406 A358407 * A358409 A358410 A358411 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.)