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 A345318 Median absolute deviation of {2*k^2 | k=1..n}. 1
 0, 3, 6, 8, 14, 20, 24, 32, 42, 48, 56, 72, 80, 91, 110, 120, 130, 153, 168, 180, 208, 224, 238, 264, 288, 304, 330, 360, 378, 405, 440, 460, 480, 527, 550, 576, 624, 648, 672, 720, 754, 780, 832, 868, 896, 943, 990, 1020, 1062, 1120, 1152, 1196, 1258, 1292, 1326, 1400 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The factor 2 in 2*k^2 in the definition is to ensure that median and median absolute deviation are always integers. Conjecture: a(n) ~ (sqrt(3)/4) * n^2. The conjecture is true. See links. - Sela Fried, Jul 17 2024. LINKS Table of n, a(n) for n=1..56. Sela Fried, Median absolute deviation, 2024. Wikipedia, Median absolute deviation EXAMPLE For n = 5 the sample is {2*k^2 | k=1..5} = {2, 8, 18, 32, 50}, its median is 18, the absolute deviations from the median are {16, 10, 0, 14, 32}, the median of the absolute deviations is 14, so a(5) = 14. For n = 6 the sample is {2*k^2 | k=1..6} = {2, 8, 18, 32, 50, 72}, its median is (18+32)/2 = 25, the absolute deviations from the median are {23, 17, 7, 7, 25, 47}, the median of the absolute deviations is (17+23)/2 = 20, so a(6) = 20. MATHEMATICA Table[MedianDeviation[Table[2 k^2, {k, n}]], {n, 56}] CROSSREFS Cf. A001105 (doubled squares), A000982 (their medians). Sequence in context: A352319 A297211 A365314 * A274605 A213983 A174133 Adjacent sequences: A345315 A345316 A345317 * A345319 A345320 A345321 KEYWORD nonn,easy AUTHOR Vladimir Reshetnikov, Jun 13 2021 STATUS approved

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Last modified August 11 04:26 EDT 2024. Contains 375059 sequences. (Running on oeis4.)