

A116559


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.


1



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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OFFSET

0,4


REFERENCES

Blyth and Robonson, Essential Student Algebra, V5, Groups, J. W. Arrowsmith, Bristol, 1986, page 9.


LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000


FORMULA

From R. J. Mathar, Nov 28 2008: (Start)
a(n) = 6*a(n6) + a(n12).
G.f.: x*(1+x+2*x^2+2*x^3+5*x^4+5*x^53*x^6+2*x^7x^8x^9)/(16*x^6x^12).
a(6n+1) = A005667(n). (End)


MATHEMATICA

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 *)


PROG

(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


CROSSREFS

Sequence in context: A045537 A243941 A161622 * A210802 A257943 A236935
Adjacent sequences: A116556 A116557 A116558 * A116560 A116561 A116562


KEYWORD

nonn,obsc


AUTHOR

Roger L. Bagula, Mar 17 2006


EXTENSIONS

More terms added by G. C. Greubel, Sep 20 2017


STATUS

approved



