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 A195183 #17 Nov 07 2017 18:36:22 %S A195183 1,1,2,1,2,3,4,1,2,3,4,1,2,3,5,6,4,1,2,3,5,6,4,1,2,3,5,7,8,6,4,1,2,3, %T A195183 5,7,9,8,6,4,1,2,3,5,7,10,9,8,6,4,1,2,3,5,7,10,9,8,6,4,1,2,3,5,7,11, %U A195183 12,10,9,8,6,4,1,2,3,5,7,11,12,10,9,8,6,4,1,2,3,5,7,11,13,14,12 %N A195183 Fractalization of the prime marker sequence A089026. %C A195183 See A194959 for a discussion of fractalization and the interspersion fractally induced by a sequence. (The prime marker sequence A089026 is defined by p(n)=n if n is prime and p(n)=1 otherwise.) %H A195183 G. C. Greubel, <a href="/A195183/b195183.txt">Table of n, a(n) for n = 1..5000</a> %t A195183 Table[p[n], {n, 1, 90}] (* A089026 *) %t A195183 g[1] = {1}; g[n_] := Insert[g[n - 1], n, p[n]] %t A195183 f[1] = g[1]; f[n_] := Join[f[n - 1], g[n]] %t A195183 f[20] (* A195183 *) %t A195183 row[n_] := Position[f[30], n]; %t A195183 u = TableForm[Table[row[n], {n, 1, 5}]] %t A195183 v[n_, k_] := Part[row[n], k]; %t A195183 w = Flatten[Table[v[k, n - k + 1], {n, 1, 13}, {k, 1, n}]] (* A195184 *) %t A195183 q[n_] := Position[w, n]; Flatten[Table[q[n], {n, 1, 80}]] (* A195185 *) %Y A195183 Cf. A194959, A089026, A195184, A195185. %K A195183 nonn %O A195183 1,3 %A A195183 _Clark Kimberling_, Sep 10 2011