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 A194914 Fractalization of (1+[n/sqrt(8)]), where [ ]=floor. 5
 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/sqrt(8)]) is A194990. LINKS MATHEMATICA r = Sqrt[8]; p[n_] := 1 + Floor[n/r] Table[p[n], {n, 1, 90}] (* A194990 *) 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] (* A194914 *) 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}]] (* A194915 *) q[n_] := Position[w, n]; Flatten[Table[q[n], {n, 1, 80}]] (* A194916 *) CROSSREFS Cf. A194959, A194914, A194915, A194916. Sequence in context: A195073 A194987 A194917 * A195076 A163491 A080772 Adjacent sequences: A194911 A194912 A194913 * A194915 A194916 A194917 KEYWORD nonn AUTHOR Clark Kimberling, Sep 08 2011 STATUS approved

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Last modified March 24 04:28 EDT 2023. Contains 361454 sequences. (Running on oeis4.)