A143091 a(n) = a(floor(2n/3)) + a(floor(n/3)) starting a(0)=a(1)=1.

1, 1, 2, 3, 3, 4, 5, 5, 6, 8, 8, 8, 9, 9, 11, 12, 12, 12, 14, 14, 14, 16, 16, 17, 18, 18, 18, 22, 22, 22, 22, 22, 24, 24, 24, 25, 27, 27, 27, 27, 27, 31, 33, 33, 33, 34, 34, 34, 36, 36, 36, 36, 36, 37, 41, 41, 41, 41, 41, 41, 41, 41, 45, 49, 49, 49, 49, 49, 50, 51, 51, 51, 54, 54

Offset: 0

Author

Roger L. Bagula, Oct 16 2008

Keywords

• nonn

Programs

Maple

A143091 := proc(n)
        option remember;
        if n <=1 then
                1;
        else
                procname(floor(n/3))+procname(floor(2*n/3)) ;
        end if;
end proc: # R. J. Mathar, Jul 12 2012

Mathematica

Clear[a, f, b, c, g] (*fractal noise chaotic sequence*) f[0] = 1; f[1] = 0; f[1] = 1; f[n_] := f[n] = f[n - f[n - 1]] + f[Floor[2*n/3]] (*Cantor like fractal stair step chaotic sequence*) g[0] = 1; g[1] = 0; g[1] = 1; g[n_] := g[n] = g[Floor[2*n/3]] + g[Floor[n/3]]; ListPlot[Table[{f[n], g[n]}, {n, 0, 200}], PlotJoined -> True]; Table[g[n], {n, 0, 200}]