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A116559
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Sequentially switched Markov of six 2 X 2 matrices based on the SL[2,2] group of Blyth and Robinson that gives a chaotic vector output.
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1
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0, 1, 1, 2, 2, 5, 5, 3, 8, 11, 11, 30, 30, 19, 49, 68, 68, 185, 185, 117, 302, 419, 419, 1140, 1140, 721, 1861, 2582, 2582, 7025, 7025, 4443, 11468, 15911, 15911, 43290, 43290, 27379, 70669, 98048, 98048, 266765, 266765, 168717, 435482, 604199, 604199, 1643880, 1643880, 1039681
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listen;
history;
text;
internal format)
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OFFSET
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0,4
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REFERENCES
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Blyth and Robonson, Essential Student Algebra, V5, Groups, J. W. Arrowsmith, Bristol, 1986, page 9.
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LINKS
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FORMULA
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a(n) = 6*a(n-6) + a(n-12).
G.f.: x*(1+x+2*x^2+2*x^3+5*x^4+5*x^5-3*x^6+2*x^7-x^8-x^9)/(1-6*x^6-x^12).
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MATHEMATICA
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CoefficientList[Series[x*(1 + x + 2*x^2 + 2*x^3 + 5*x^4 + 5*x^5 - 3*x^6 + 2*x^7 - x^8 - x^9)/(1 - 6*x^6 - x^12), {x, 0, 50}], x] (* G. C. Greubel, Sep 20 2017 *)
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PROG
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(PARI) x='x+O('x^50); Vec(x*(1 + x + 2*x^2 + 2*x^3 + 5*x^4 + 5*x^5 - 3*x^6 + 2*x^7 - x^8 - x^9)/(1 - 6*x^6 - x^12)) \\ G. C. Greubel, Sep 20 2017
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CROSSREFS
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KEYWORD
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nonn,obsc
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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