A194987 - OEIS

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A194987

Fractalization of (1+[n/sqrt(6)]), where [ ]=floor.

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]]