

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
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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



