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 A166497 A Per Bak sand pile collapse sequence using A147665 in the A153112 form. 0
 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; text; internal format)
 OFFSET 0,5 COMMENTS This sequence shows virtually no entropy plateaus. The sequence seems to be either too random or a different kind of chaotic sequence. REFERENCES Per Bak, "How nature works, the science of self-organized criticality", Springer-Verlag, New York, 1996, pages 49-64 LINKS 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}] CROSSREFS Cf. A153112, A004001, A005185, A147665 Sequence in context: A054988 A143393 A269111 * A116909 A333853 A182006 Adjacent sequences:  A166494 A166495 A166496 * A166498 A166499 A166500 KEYWORD nonn,uned AUTHOR Roger L. Bagula, Oct 15 2009 STATUS approved

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Last modified September 17 06:16 EDT 2021. Contains 347478 sequences. (Running on oeis4.)