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 A195079 #5 Mar 30 2012 18:57:44 %S A195079 1,2,1,3,2,1,3,4,2,1,3,5,4,2,1,3,6,5,4,2,1,3,7,6,5,4,2,1,3,7,8,6,5,4, %T A195079 2,1,3,7,9,8,6,5,4,2,1,3,7,10,9,8,6,5,4,2,1,3,7,11,10,9,8,6,5,4,2,1,3, %U A195079 7,11,12,10,9,8,6,5,4,2,1,3,7,11,13,12,10,9,8,6,5,4,2,1,3,7,11 %N A195079 Fractalization of (1+[n/4]), where [ ]=floor. %C A195079 See A194959 for a discussion of fractalization and the interspersion fractally induced by a sequence. The sequence (1+[n/4]) is A008621. See A194959 for a discussion of fractalization and the interspersion fractally induced by a sequence. %t A195079 r = 4; p[n_] := 1 + Floor[n/r] %t A195079 Table[p[n], {n, 1, 90}] (* A008621 *) %t A195079 g[1] = {1}; g[n_] := Insert[g[n - 1], n, p[n]] %t A195079 f[1] = g[1]; f[n_] := Join[f[n - 1], g[n]] %t A195079 f[20] (* A195079 *) %t A195079 row[n_] := Position[f[30], n]; %t A195079 u = TableForm[Table[row[n], {n, 1, 5}]] %t A195079 v[n_, k_] := Part[row[n], k]; %t A195079 w = Flatten[Table[v[k, n - k + 1], {n, 1, 13}, %t A195079 {k, 1, n}]] (* A195080 *) %t A195079 q[n_] := Position[w, n]; Flatten[Table[q[n], %t A195079 {n, 1, 80}]] (* A195081 *) %Y A195079 Cf. A008621, A195080, A195081. %K A195079 nonn %O A195079 1,2 %A A195079 _Clark Kimberling_, Sep 08 2011