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A194980 Fractalization of (1+[n/sqrt(3)]), where [ ]=floor. 6
1, 1, 2, 1, 3, 2, 1, 3, 4, 2, 1, 3, 5, 4, 2, 1, 3, 5, 6, 4, 2, 1, 3, 5, 6, 7, 4, 2, 1, 3, 5, 6, 8, 7, 4, 2, 1, 3, 5, 6, 8, 9, 7, 4, 2, 1, 3, 5, 6, 8, 10, 9, 7, 4, 2, 1, 3, 5, 6, 8, 10, 11, 9, 7, 4, 2, 1, 3, 5, 6, 8, 10, 12, 11, 9, 7, 4, 2, 1, 3, 5, 6, 8, 10, 12, 13, 11, 9, 7, 4, 2, 1, 3, 5 (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+[n/sqrt(3)]) is A194979.

LINKS

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

MATHEMATICA

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

Table[p[n], {n, 1, 90}]  (* A194979 = 1+ A097337 *)

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] (* A194980 *)

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}]]  (* A194981 *)

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

{n, 1, 80}]]  (* A194982 *)

CROSSREFS

Cf. A194959, A194879, A194981, A194982.

Sequence in context: A275015 A211189 A194968 * A323607 A194959 A194921

Adjacent sequences:  A194977 A194978 A194979 * A194981 A194982 A194983

KEYWORD

nonn

AUTHOR

Clark Kimberling, Sep 07 2011

STATUS

approved

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Last modified June 22 01:06 EDT 2021. Contains 345367 sequences. (Running on oeis4.)