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A166497
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A Per Bak sand pile collapse sequence using A147665 in the A153112 form.
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1, 1, 1, 1, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 4, 3, 2, 4, 3, 2, 4, 3, 2, 5, 1, 2, 2, 2, 2, 3, 2, 2, 4, 3, 2, 4, 3, 2, 4, 3, 2, 5, 4, 3, 5, 4, 2, 5, 5, 5, 5, 4, 3, 6, 3, 2, 4, 4, 4, 4, 3, 2, 5, 4, 3, 5, 5, 5, 6, 3, 2, 7, 3, 2, 4, 5, 6, 5, 4, 3, 4, 3, 2, 4, 3, 2, 4, 1, 2, 2, 2, 2, 3, 2, 2, 4, 3, 2, 4, 3, 2, 4
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| This sequence shows virtually no entropy plateaus.
The sequence seems to be either too random or a different kind of chaotic sequence.
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REFERENCES
| Per Bak, "How nature works, the science of self-organized criticality", Springer-Verlag, New York, 1996, pages 49-64
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MATHEMATICA
| Clear[f, n]; f[0] = 1; f[1] = 1; f[2] = 1;
f[n_] := f[n] = If[Mod[Floor[Sum[f[i], {i, 0, n - 1}]/2], 2^(4 + Mod[n, 3])] == 1,
1 + Mod[n, 3],
f[f[n - 1]] + If[Mod[n, 3] == 0, f[f[n/3]], If[Mod[n, 3] == 1, f[f[(n - 1)/3]], f[n - f[(n - 2)/3]]]];
a = Table[f[n], {n, 0, 200}]
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CROSSREFS
| Cf. A153112, A004001, A005185, A147665
Sequence in context: A104543 A054988 A143393 * A116909 A085239 A126014
Adjacent sequences: A166494 A166495 A166496 * A166498 A166499 A166500
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KEYWORD
| nonn,uned
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Oct 15 2009
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