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 A195076 Fractalization of (1+[n/3]), where [ ]=floor. 3
 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, 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, 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 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. LINKS MATHEMATICA r = 3; p[n_] := 1 + Floor[n/r] Table[p[n], {n, 1, 90}] (* A009620 *) g[1] = {1}; g[n_] := Insert[g[n - 1], n, p[n]] f[1] = g[1]; f[n_] := Join[f[n - 1], g[n]] f[20] (* A195076 *) row[n_] := Position[f[30], n]; u = TableForm[Table[row[n], {n, 1, 5}]] v[n_, k_] := Part[row[n], k]; w = Flatten[Table[v[k, n - k + 1], {n, 1, 13}, {k, 1, n}]] (* A195077 *) q[n_] := Position[w, n]; Flatten[Table[q[n], {n, 1, 80}]] (* A195078 *) CROSSREFS Cf. A195076, A195077, A195078. Sequence in context: A194987 A194917 A194914 * A163491 A080772 A259324 Adjacent sequences: A195073 A195074 A195075 * A195077 A195078 A195079 KEYWORD nonn AUTHOR Clark Kimberling, Sep 08 2011 STATUS approved

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Last modified March 29 18:41 EDT 2023. Contains 361599 sequences. (Running on oeis4.)