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A258246 Number of steps from n to 0, where allowable steps are x -> [x/Pi] if x = is in A022844 (the Beatty sequence for Pi) and x -> [Pi*x] otherwise, where [ ] = floor. 2
0, 2, 4, 1, 3, 5, 3, 5, 7, 5, 7, 9, 2, 4, 6, 4, 6, 8, 6, 8, 10, 4, 6, 8, 10, 6, 8, 10, 8, 10, 12, 6, 8, 10, 8, 10, 12, 10, 12, 14, 3, 5, 7, 5, 7, 9, 11, 7, 9, 11, 5, 7, 9, 7, 9, 11, 9, 11, 13, 7, 9, 11, 9, 11, 13, 11, 13, 15, 17, 5, 7, 9, 7, 9, 11, 9, 11, 13 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n) = number of edges from 0 to n in the tree at A258245.

LINKS

Clark Kimberling, Table of n, a(n) for n = 0..10000

EXAMPLE

8->25->7->21->6->1->3->0, so that a(8) = 7.

MATHEMATICA

r = Pi; w = Table[Floor[r*n], {n, 1, 1000}];

f[x_] := If[MemberQ[w, x], Floor[x/r], Floor[r*x]];

g[x_] := Drop[FixedPointList[f, x], -1];

Table[-1+ Length[g[n]], {n, 0, 100}]

CROSSREFS

Cf. A022844, A258245, A258212.

Sequence in context: A130266 A261595 A211197 * A258240 A198578 A173658

Adjacent sequences:  A258243 A258244 A258245 * A258247 A258248 A258249

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 08 2015

STATUS

approved

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Last modified September 21 01:46 EDT 2021. Contains 347596 sequences. (Running on oeis4.)