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A257701
Number of steps from n to 1 using this algorithm: x -> floor(r*x) if x is odd, and x -> floor(x/r) if x is even, where r = sqrt(3).
3
0, 1, 5, 2, 4, 6, 8, 3, 16, 5, 9, 7, 9, 4, 15, 17, 21, 6, 8, 10, 12, 8, 18, 10, 14, 16, 18, 18, 20, 22, 32, 7, 11, 9, 11, 11, 13, 13, 17, 19, 23, 11, 13, 15, 19, 17, 21, 19, 21, 19, 21, 23, 31, 33, 37, 8, 10, 12, 14, 10, 22, 12, 16, 12, 14, 14, 16, 18, 22
OFFSET
1,3
LINKS
EXAMPLE
7->12->6->3->5->8->4->2->1, total of 8 steps, so that a(7) = 8.
MATHEMATICA
r = Sqrt[3]; f[x_] := If[OddQ[x], Floor[r *x], Floor[x/r]]
g[x_] := Drop[FixedPointList[f, x], -1];
Table[-1 + Length[g[n]], {n, 1, 200}]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, May 04 2015
STATUS
approved