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A195082 Fractalization of (1+[2n/3]), where [ ] = floor. 3
1, 1, 2, 1, 2, 3, 1, 2, 4, 3, 1, 2, 4, 5, 3, 1, 2, 4, 5, 6, 3, 1, 2, 4, 5, 7, 6, 3, 1, 2, 4, 5, 7, 8, 6, 3, 1, 2, 4, 5, 7, 8, 9, 6, 3, 1, 2, 4, 5, 7, 8, 10, 9, 6, 3, 1, 2, 4, 5, 7, 8, 10, 11, 9, 6, 3, 1, 2, 4, 5, 7, 8, 10, 11, 12, 9, 6, 3, 1, 2, 4, 5, 7, 8, 10, 11, 13, 12, 9, 6, 3, 1, 2, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

See A194959 for a discussion of fractalization and the interspersion fractally induced by a sequence.  The sequence (1+[2n/3]) is essentially A004396.

LINKS

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

MATHEMATICA

r = 2/3; p[n_] := 1 + Floor[n*r]

Table[p[n], {n, 1, 90}]  (* ess A004396 *)

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] (* A195082 *)

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}]] (* A195083 *)

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

{n, 1, 80}]] (* A195096 *)

CROSSREFS

Cf. A004396, A195083, A195096.

Sequence in context: A214614 A265692 A194976 * A210535 A194983 A195073

Adjacent sequences:  A195079 A195080 A195081 * A195083 A195084 A195085

KEYWORD

nonn

AUTHOR

Clark Kimberling, Sep 08 2011

STATUS

approved

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Last modified September 17 03:42 EDT 2021. Contains 347478 sequences. (Running on oeis4.)