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A195073 Fractalization of (n-[n/sqrt(3)]), where [ ]=floor. 4
1, 2, 1, 2, 3, 1, 2, 4, 3, 1, 2, 4, 5, 3, 1, 2, 4, 6, 5, 3, 1, 2, 4, 7, 6, 5, 3, 1, 2, 4, 7, 8, 6, 5, 3, 1, 2, 4, 7, 9, 8, 6, 5, 3, 1, 2, 4, 7, 9, 10, 8, 6, 5, 3, 1, 2, 4, 7, 9, 11, 10, 8, 6, 5, 3, 1, 2, 4, 7, 9, 11, 12, 10, 8, 6, 5, 3, 1, 2, 4, 7, 9, 11, 13, 12, 10, 8, 6, 5, 3, 1, 2, 4, 7, 9 (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 (n-[n/sqrt(3)]) is A195072.

LINKS

Table of n, a(n) for n=1..95.

MATHEMATICA

r = Sqrt[3]; p[n_] := n - Floor[n/r]

Table[p[n], {n, 1, 90}]   (* A195072 *)

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]   (* A195073 *)

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}]]    (* A195074 *)

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

Table[q[n], {n, 1, 80}]]   (* A195075 *)

CROSSREFS

Cf. A195072, A194974, A195075.

Sequence in context: A195082 A210535 A194983 * A194987 A194917 A194914

Adjacent sequences:  A195070 A195071 A195072 * A195074 A195075 A195076

KEYWORD

nonn

AUTHOR

Clark Kimberling, Sep 08 2011

STATUS

approved

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Last modified September 24 15:33 EDT 2021. Contains 347643 sequences. (Running on oeis4.)