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A195079 Fractalization of (1+[n/4]), where [ ]=floor. 3
1, 2, 1, 3, 2, 1, 3, 4, 2, 1, 3, 5, 4, 2, 1, 3, 6, 5, 4, 2, 1, 3, 7, 6, 5, 4, 2, 1, 3, 7, 8, 6, 5, 4, 2, 1, 3, 7, 9, 8, 6, 5, 4, 2, 1, 3, 7, 10, 9, 8, 6, 5, 4, 2, 1, 3, 7, 11, 10, 9, 8, 6, 5, 4, 2, 1, 3, 7, 11, 12, 10, 9, 8, 6, 5, 4, 2, 1, 3, 7, 11, 13, 12, 10, 9, 8, 6, 5, 4, 2, 1, 3, 7, 11 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A194959 for a discussion of fractalization and the interspersion fractally induced by a sequence.  The sequence (1+[n/4]) is A008621. See A194959 for a discussion of fractalization and the interspersion fractally induced by a sequence.

LINKS

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

MATHEMATICA

r = 4; p[n_] := 1 + Floor[n/r]

Table[p[n], {n, 1, 90}]  (* A008621 *)

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] (* A195079 *)

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}]] (* A195080 *)

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

{n, 1, 80}]] (* A195081 *)

CROSSREFS

Cf. A008621, A195080, A195081.

Sequence in context: A323607 A194959 A194921 * A124458 A199538 A324337

Adjacent sequences:  A195076 A195077 A195078 * A195080 A195081 A195082

KEYWORD

nonn

AUTHOR

Clark Kimberling, Sep 08 2011

STATUS

approved

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Last modified July 31 14:49 EDT 2021. Contains 346374 sequences. (Running on oeis4.)