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A194987 Fractalization of (1+[n/sqrt(6)]), where [ ]=floor. 5
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, 12, 11, 10, 8, 6, 5, 3, 1, 2, 4, 7, 9, 12, 13, 11, 10, 8, 6, 5, 3, 1, 2, 4, 7 (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/sqrt(6)]) is A194986.

LINKS

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

MATHEMATICA

r = Sqrt[6]; p[n_] := 1 + Floor[n/r]

Table[p[n], {n, 1, 90}] (* A194986 *)

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] (* A194987 *)

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}]] (* A194988 *)

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

{n, 1, 80}]]  (* A194989 *)

CROSSREFS

Cf. A194959, A194986, A194988, A194989.

Sequence in context: A210535 A194983 A195073 * A194917 A194914 A195076

Adjacent sequences:  A194984 A194985 A194986 * A194988 A194989 A194990

KEYWORD

nonn

AUTHOR

Clark Kimberling, Sep 07 2011

STATUS

approved

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Last modified September 24 12:23 EDT 2021. Contains 347642 sequences. (Running on oeis4.)