A098022 Irrational rotation of Log(3)/Log(2) as an implicit sequence with an uneven Cantor cartoon.

5, 10, 17, 22, 29, 34, 41, 46, 51, 58, 63, 70, 75, 82, 87, 94, 99, 104, 111, 116, 123, 128, 135, 140, 147, 152, 157, 164, 169, 176, 181, 188, 193, 200, 205, 210, 217, 222, 229, 234, 241, 246, 253, 258, 263, 270, 275, 282, 287, 294, 299, 306, 311, 316, 323, 328

Offset

1,1

Links

Table of n, a(n) for n=1..56.

Formula

f(n)=n*(Log[3]/Log[2]) (mod 1), g(x)=-1 if 0<=x<=1/3, g(x)=0 if 1/3<x<=2/3 & g(x)=1 if 1/3<x<=1, a(n)=n If f[n+2]-2*f[n+1]+f[n]-g[f[n+1]]=0.

Mathematica

f[n_] := Mod[n*(Log[3]/Log[2]), 1]; g[x_] := -1/; 0<=x<=1/3; g[x_] := 0/; 1/3<x<=2/3; g[x_] := 1/; 1/3<x<=1; a = Delete[ Union[ Table[ If [Simplify[f[n+2] - 2*f[n+1] + f[n]]-g[f[n+1]]==0, n, 0], {n, 330}]], 1]; ListPlot[a, PlotJoined-> True]

Crossrefs

Sequence in context: A313982 A098021 A356182 * A190550 A342579 A313983

Adjacent sequences: A098019 A098020 A098021 * A098023 A098024 A098025

Keyword

nonn

Author

Roger L. Bagula, Sep 09 2004

Extensions

Edited and extended by Robert G. Wilson v, Sep 25 2004

Status

approved