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A194107
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Natural fractal sequence of A194106.
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3
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1, 2, 3, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 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, 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, 16, 17
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OFFSET
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1,2
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COMMENTS
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See A194029 for definitions of natural fractal sequence and natural interspersion.
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LINKS
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Table of n, a(n) for n=1..89.
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MATHEMATICA
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z = 40; g = Sqrt[3];
c[k_] := Sum[Floor[j*g], {j, 1, k}];
c = Table[c[k], {k, 1, z}] (* A194106 *)
f[n_] := If[MemberQ[c, n], 1, 1 + f[n - 1]]
f = Table[f[n], {n, 1, 800}] (* A194107 *)
r[n_] := Flatten[Position[f, n]]
t[n_, k_] := r[n][[k]]
TableForm[Table[t[n, k], {n, 1, 8}, {k, 1, 7}]]
p = Flatten[Table[t[k, n - k + 1], {n, 1, 16}, {k, 1, n}]] (* A194108 *)
q[n_] := Position[p, n]; Flatten[Table[q[n], {n, 1, 80}]] (* A194109 *)
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CROSSREFS
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Cf. A194029, A194106, A194108.
Sequence in context: A053737 A033924 A003315 * A071797 A025481 A124171
Adjacent sequences: A194104 A194105 A194106 * A194108 A194109 A194110
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling, Aug 15 2011
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STATUS
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approved
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