

A194050


Natural fractal sequence of A014739.


2



1, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
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OFFSET

1,3


COMMENTS

See A194029 for definitions of natural fractal sequence and natural interspersion.


LINKS

Table of n, a(n) for n=1..83.


MATHEMATICA

z = 50;
c[k_] := LucasL[k + 1]  2;
c = Table[c[k], {k, 1, z}] (* A014739 *)
f[n_] := If[MemberQ[c, n], 1, 1 + f[n  1]]
f = Table[f[n], {n, 1, 600}] (* A194050 *)
r[n_] := Flatten[Position[f, n]]
t[n_, k_] := r[n][[k]]
TableForm[Table[t[n, k], {n, 1, 8}, {k, 1, 7}]]
p = Flatten[Table[t[k, n  k + 1], {n, 1, 12}, {k, 1, n}]] (* A194051 *)
q[n_] := Position[p, n]; Flatten[Table[q[n], {n, 1, 90}]] (* A194052 *)


CROSSREFS

Cf. A194029, A194051, A194052.
Sequence in context: A339822 A194063 A194053 * A316340 A002828 A191091
Adjacent sequences: A194047 A194048 A194049 * A194051 A194052 A194053


KEYWORD

nonn


AUTHOR

Clark Kimberling, Aug 13 2011


STATUS

approved



