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 A195113 #9 Jul 24 2014 11:23:40
%S A195113 1,2,1,2,3,1,2,3,4,1,5,2,3,4,1,5,6,2,3,4,1,5,6,7,2,3,4,1,5,6,7,8,2,3,
%T A195113 4,1,9,5,6,7,8,2,3,4,1,9,10,5,6,7,8,2,3,4,1,9,10,11,5,6,7,8,2,3,4,1,9,
%U A195113 10,11,12,5,6,7,8,2,3,4,1,9,10,11,12,13,5,6,7,8,2,3,4,1,14,9,10
%N A195113 Fractalization of the fractal sequence obtained by deleting the second two terms of the fractal sequence A002260.
%C A195113 See A194959 for a discussion of fractalization and the interspersion fractally induced by a sequence p; for the present case, p is the concatenation of the segments 1, 123,1234,12345,123456,..., so that p is obtained from A002260 by deleting the segment 12.
%t A195113 j[n_] := Table[k, {k, 1, n}];
%t A195113 t[1] = j[1]; t[2] = j[1];
%t A195113 t[n_] := Join[t[n - 1], j[n]] (* A002260; initial 1,1,2 repl by 1 *)
%t A195113 t[12]
%t A195113 p[n_] := t[20][[n]]
%t A195113 g[1] = {1}; g[n_] := Insert[g[n - 1], n, p[n]]
%t A195113 f[1] = g[1]; f[n_] := Join[f[n - 1], g[n]]
%t A195113 f[20] (* A195113 *)
%t A195113 row[n_] := Position[f[30], n];
%t A195113 u = TableForm[Table[row[n], {n, 1, 5}]]
%t A195113 v[n_, k_] := Part[row[n], k];
%t A195113 w = Flatten[Table[v[k, n - k + 1], {n, 1, 13},
%t A195113 {k, 1, n}]] (* A195114 *)
%t A195113 q[n_] := Position[w, n]; Flatten[Table[q[n],
%t A195113 {n, 1, 80}]] (* A195115 *)
%Y A195113 Cf. A194959, A002260, A195114, A195115.
%K A195113 nonn
%O A195113 1,2
%A A195113 _Clark Kimberling_, Sep 09 2011