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A194070 Natural fractal sequence of A194069. 3
1, 2, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

Table of n, a(n) for n=1..92.

MATHEMATICA

z = 70;

c[k_] := 1 + Floor[(2/3) k^2];

c = Table[c[k], {k, 1, z}]  (* A194069 *)

f[n_] := If[MemberQ[c, n], 1, 1 + f[n - 1]]

f = Table[f[n], {n, 1, 300}]   (* A194070 *)

r[n_] := Flatten[Position[f, n]]

t[n_, k_] := r[n][[k]]

TableForm[Table[t[n, k], {n, 1, 7}, {k, 1, 7}]]

p = Flatten[Table[t[k, n - k + 1], {n, 1, 14}, {k, 1, n}]] (* A194071 *)

q[n_] := Position[p, n]; Flatten[Table[q[n], {n, 1, 90}]] (* A194072 *)

CROSSREFS

Cf. A194029, A194069, A194071.

Sequence in context: A214500 A066016 A098068 * A195183 A194841 A194911

Adjacent sequences:  A194067 A194068 A194069 * A194071 A194072 A194073

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 14 2011

STATUS

approved

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Last modified October 15 00:04 EDT 2019. Contains 328025 sequences. (Running on oeis4.)