

A257698


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 = 3/2.


7



0, 1, 3, 2, 6, 3, 5, 7, 13, 4, 6, 8, 12, 14, 16, 5, 13, 9, 11, 13, 17, 15, 17, 6, 12, 14, 16, 10, 14, 14, 16, 18, 28, 16, 18, 7, 11, 13, 15, 15, 21, 11, 13, 15, 19, 15, 17, 19, 27, 29, 31, 17, 21, 8, 10, 12, 18, 14, 16, 16, 20, 22, 24, 12, 24, 16, 18, 20, 24
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OFFSET

1,3


LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000


EXAMPLE

5>7>10>6>4>2>1, total of 6 steps, so that a(5) = 6.


MATHEMATICA

r = 3/2; 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

Cf. A257699A257706.
Sequence in context: A137324 A011209 A182649 * A322907 A071018 A144559
Adjacent sequences: A257695 A257696 A257697 * A257699 A257700 A257701


KEYWORD

nonn,easy


AUTHOR

Clark Kimberling, May 04 2015


STATUS

approved



