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 A194074 Natural fractal sequence of A194073. 3
 1, 2, 3, 1, 2, 3, 1, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A194029 for definitions of natural fractal sequence and natural interspersion. LINKS MATHEMATICA z = 70; c[k_] := 1 + Floor[(3/4) k^2]; c = Table[c[k], {k, 1, z}]  (* A194073 *) f[n_] := If[MemberQ[c, n], 1, 1 + f[n - 1]] f = Table[f[n], {n, 1, 300}]   (* A194074 *) r[n_] := Flatten[Position[f, n]] t[n_, k_] := r[n][[k]] TableForm[Table[t[n, k], {n, 1, 7}, {k, 1, 7}]] p = Flatten[Table[t[k, n - k + 1], {n, 1, 14}, {k, 1, n}]] (* A194075 *) q[n_] := Position[p, n]; Flatten[Table[q[n], {n, 1, 90}]]  (* A194076 *) CROSSREFS Cf. A194073, A194075. Sequence in context: A343638 A293207 A106590 * A175469 A239526 A194862 Adjacent sequences:  A194071 A194072 A194073 * A194075 A194076 A194077 KEYWORD nonn AUTHOR Clark Kimberling, Aug 14 2011 STATUS approved

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Last modified January 28 06:43 EST 2022. Contains 350654 sequences. (Running on oeis4.)