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 A195082 Fractalization of (1+[2n/3]), where [ ] = floor. 3
 1, 1, 2, 1, 2, 3, 1, 2, 4, 3, 1, 2, 4, 5, 3, 1, 2, 4, 5, 6, 3, 1, 2, 4, 5, 7, 6, 3, 1, 2, 4, 5, 7, 8, 6, 3, 1, 2, 4, 5, 7, 8, 9, 6, 3, 1, 2, 4, 5, 7, 8, 10, 9, 6, 3, 1, 2, 4, 5, 7, 8, 10, 11, 9, 6, 3, 1, 2, 4, 5, 7, 8, 10, 11, 12, 9, 6, 3, 1, 2, 4, 5, 7, 8, 10, 11, 13, 12, 9, 6, 3, 1, 2, 4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS See A194959 for a discussion of fractalization and the interspersion fractally induced by a sequence.  The sequence (1+[2n/3]) is essentially A004396. LINKS MATHEMATICA r = 2/3; p[n_] := 1 + Floor[n*r] Table[p[n], {n, 1, 90}]  (* ess A004396 *) 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] (* A195082 *) 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}]] (* A195083 *) q[n_] := Position[w, n]; Flatten[Table[q[n], {n, 1, 80}]] (* A195096 *) CROSSREFS Cf. A004396, A195083, A195096. Sequence in context: A214614 A265692 A194976 * A210535 A194983 A195073 Adjacent sequences:  A195079 A195080 A195081 * A195083 A195084 A195085 KEYWORD nonn AUTHOR Clark Kimberling, Sep 08 2011 STATUS approved

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Last modified September 17 03:42 EDT 2021. Contains 347478 sequences. (Running on oeis4.)