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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 (list; graph; refs; listen; history; text; internal format)
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(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).

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

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Last modified December 18 12:06 EST 2018. Contains 318229 sequences. (Running on oeis4.)