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 A184952 High water marks in A177413 1
 0, 1, 2, 4, 40, 52, 82, 4839, 5813, 8366, 11153, 46254, 1040968, 12925493 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS 12925493 does not appear in A177413 until n=292558. LINKS http://mathworld.wolfram.com/DottieNumber.html EXAMPLE The first few terms of the continued fraction of the Dottie number are 0, 1, 2, 1, 4, 1, 40 of which the high water marks are 0,1,2,4,40... MATHEMATICA z = x /. FindRoot[x == Cos[x], {x, 0},    WorkingPrecision -> 100000]; data = ContinuedFraction[z]; g[list_] := Delete[list,   Transpose[{DeleteCases[      Table[If[list[[n]] < list[[n - 1]], n, no], {n, 2,        Length[list]}], no]}]]; CROSSREFS Cf. A177413, A003957 Sequence in context: A098625 A057777 A139735 * A098337 A187468 A158213 Adjacent sequences:  A184949 A184950 A184951 * A184953 A184954 A184955 KEYWORD nonn,cofr,hard,more AUTHOR Ben Branman, Dec 21 2011 STATUS approved

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