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.
%I A195073 #6 Mar 30 2012 18:57:44 %S A195073 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, %T A195073 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, %U A195073 4,7,9,11,12,10,8,6,5,3,1,2,4,7,9,11,13,12,10,8,6,5,3,1,2,4,7,9 %N A195073 Fractalization of (n-[n/sqrt(3)]), where [ ]=floor. %C A195073 See A194959 for a discussion of fractalization and the interspersion fractally induced by a sequence. The sequence (n-[n/sqrt(3)]) is A195072. %t A195073 r = Sqrt[3]; p[n_] := n - Floor[n/r] %t A195073 Table[p[n], {n, 1, 90}] (* A195072 *) %t A195073 g[1] = {1}; g[n_] := Insert[g[n - 1], n, p[n]] %t A195073 f[1] = g[1]; f[n_] := Join[f[n - 1], g[n]] %t A195073 f[20] (* A195073 *) %t A195073 row[n_] := Position[f[30], n]; %t A195073 u = TableForm[Table[row[n], {n, 1, 5}]] %t A195073 v[n_, k_] := Part[row[n], k]; %t A195073 w = Flatten[Table[v[k, n - k + 1], {n, 1, 13}, %t A195073 {k, 1, n}]] (* A195074 *) %t A195073 q[n_] := Position[w, n]; Flatten[ %t A195073 Table[q[n], {n, 1, 80}]] (* A195075 *) %Y A195073 Cf. A195072, A194974, A195075. %K A195073 nonn %O A195073 1,2 %A A195073 _Clark Kimberling_, Sep 08 2011