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 A130147 a(0)=1. a(n+1) = a(floor(n/a(n))) + 1. 6
 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Records occur at 0,1,3,10,41,206,1237,8660,69281,623530,6235301, which appears to be A002627. See A132424 for a related sequence. - John W. Layman, Aug 20 2007 LINKS N. J. A. Sloane, Table of n, a(n) for n = 0..20000 MAPLE a[0]:=1: for n from 0 to 110 do a[n+1]:=1+a[floor(n/a[n])] end do: seq(a[n], n=0..110); # Emeric Deutsch, Aug 19 2007 MATHEMATICA a[0] = 1; a[n_] := a[n] = 1 + a[Floor[(n - 1)/a[n - 1]]]; Array[a, 105, 0] (* Michael De Vlieger, Sep 03 2017 *) CROSSREFS Cf. A002627, A132424. See A130193 for "ceiling" version. Sequence in context: A072375 A131981 A257244 * A096143 A025792 A119447 Adjacent sequences:  A130144 A130145 A130146 * A130148 A130149 A130150 KEYWORD easy,nonn AUTHOR Leroy Quet, Aug 02 2007 EXTENSIONS More terms from Emeric Deutsch and John W. Layman, Aug 19 2007 STATUS approved

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Last modified May 31 07:03 EDT 2020. Contains 334747 sequences. (Running on oeis4.)