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A194961 Fractalization of A194960. 4
1, 1, 2, 1, 2, 3, 1, 4, 2, 3, 1, 4, 5, 2, 3, 1, 4, 5, 6, 2, 3, 1, 4, 7, 5, 6, 2, 3, 1, 4, 7, 8, 5, 6, 2, 3, 1, 4, 7, 8, 9, 5, 6, 2, 3, 1, 4, 7, 10, 8, 9, 5, 6, 2, 3, 1, 4, 7, 10, 11, 8, 9, 5, 6, 2, 3, 1, 4, 7, 10, 11, 12, 8, 9, 5, 6, 2, 3, 1, 4, 7, 10, 13, 11, 12, 8, 9, 5, 6, 2, 3, 1, 4, 7 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

See A194959 for a discussion of fractalization.

LINKS

Table of n, a(n) for n=1..94.

MATHEMATICA

p[n_] := Floor[(n + 2)/3] + Mod[n - 1, 3]

Table[p[n], {n, 1, 90}]  (* A194960 *)

g[1] = {1}; g[n_] := Insert[g[n - 1], n, p[n]]

f[1] = g[1]; f[n_] := Join[f[n - 1], g[n]]

f[20]  (* A194961 *)

row[n_] := Position[f[30], n];

u = TableForm[Table[row[n], {n, 1, 5}]]

v[n_, k_] := Part[row[n], k];

w = Flatten[Table[v[k, n - k + 1], {n, 1, 13},

{k, 1, n}]]  (* A194962 *)

q[n_] := Position[w, n]; Flatten[

Table[q[n], {n, 1, 80}]]  (* A194963 *)

CROSSREFS

Cf. A194959, A194960, A194962, A194963.

Sequence in context: A143604 A021475 A132224 * A195110 A167198 A295540

Adjacent sequences:  A194958 A194959 A194960 * A194962 A194963 A194964

KEYWORD

nonn

AUTHOR

Clark Kimberling, Sep 06 2011

STATUS

approved

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Last modified February 20 08:14 EST 2018. Contains 299370 sequences. (Running on oeis4.)