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A194980 Fractalization of (1+[n/sqrt(3)]), where [ ]=floor. 6

%I

%S 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,

%T 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,

%U 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

%N Fractalization of (1+[n/sqrt(3)]), where [ ]=floor.

%C See A194959 for a discussion of fractalization and the interspersion fractally induced by a sequence. The sequence (1+[n/sqrt(3)]) is A194979.

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

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

%t g[1] = {1}; g[n_] := Insert[g[n - 1], n, p[n]]

%t f[1] = g[1]; f[n_] := Join[f[n - 1], g[n]]

%t f[20] (* A194980 *)

%t row[n_] := Position[f[30], n];

%t u = TableForm[Table[row[n], {n, 1, 5}]]

%t v[n_, k_] := Part[row[n], k];

%t w = Flatten[Table[v[k, n - k + 1], {n, 1, 13},

%t {k, 1, n}]] (* A194981 *)

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

%t {n, 1, 80}]] (* A194982 *)

%Y Cf. A194959, A194879, A194981, A194982.

%K nonn

%O 1,3

%A _Clark Kimberling_, Sep 07 2011

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Last modified August 2 05:02 EDT 2021. Contains 346409 sequences. (Running on oeis4.)