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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A195076 Fractalization of (1+[n/3]), where [ ]=floor.

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%I A195076 #6 Mar 30 2012 18:57:44
%S A195076 1,2,1,2,3,1,2,4,3,1,2,5,4,3,1,2,5,6,4,3,1,2,5,7,6,4,3,1,2,5,8,7,6,4,
%T A195076 3,1,2,5,8,9,7,6,4,3,1,2,5,8,10,9,7,6,4,3,1,2,5,8,11,10,9,7,6,4,3,1,2,
%U A195076 5,8,11,12,10,9,7,6,4,3,1,2,5,8,11,13,12,10,9,7,6,4,3,1,2,5,8
%N A195076 Fractalization of (1+[n/3]), where [ ]=floor.
%C A195076 See A194959 for a discussion of fractalization and the interspersion fractally induced by a sequence.  The sequence (1+[n/3]) is A009620.  A195076 is not identical to A194914.
%t A195076 r = 3; p[n_] := 1 + Floor[n/r]
%t A195076 Table[p[n], {n, 1, 90}]  (* A009620 *)
%t A195076 g[1] = {1}; g[n_] := Insert[g[n - 1], n, p[n]]
%t A195076 f[1] = g[1]; f[n_] := Join[f[n - 1], g[n]]
%t A195076 f[20] (* A195076 *)
%t A195076 row[n_] := Position[f[30], n];
%t A195076 u = TableForm[Table[row[n], {n, 1, 5}]]
%t A195076 v[n_, k_] := Part[row[n], k];
%t A195076 w = Flatten[Table[v[k, n - k + 1], {n, 1, 13},
%t A195076 {k, 1, n}]]  (* A195077 *)
%t A195076 q[n_] := Position[w, n]; Flatten[Table[q[n],
%t A195076 {n, 1, 80}]]  (* A195078 *)
%Y A195076 Cf. A195076, A195077, A195078.
%K A195076 nonn
%O A195076 1,2
%A A195076 _Clark Kimberling_, Sep 08 2011