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A152303 Marsaglia-Zaman type recursive sequence as a vector Markov: M = {{0, 1}, {1, 1}}; M1 = {{0, 0}, {1/10, 0}}; v(n)=M.v(n-1)+Floor[M1.v(n-1),10] a(n)=Mod[v(n)[[1]],10]. 0
1, 1, 2, 3, 5, 8, 3, 1, 5, 8, 6, 9, 4, 8, 8, 9, 9, 8, 7, 8, 9, 8, 8, 1, 9, 1, 4, 4, 0, 7, 0, 6, 2, 6, 0, 8, 4, 4, 1, 9, 9, 8, 9, 3, 0, 6, 8, 0, 6, 4, 6, 5, 2, 4, 9, 3, 3, 0, 0, 9, 6, 6, 5, 9, 6, 5, 4, 3, 7, 1, 6, 3, 3, 0, 0, 2, 4, 4, 4, 3, 7, 7, 4, 7, 0, 4, 5, 9, 0, 0, 2, 1, 0, 7, 0, 5, 6, 9, 5, 1, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

Ivars Peterson, The Jungles of Randomness, 1998, John Wiley and Sons, Inc., page 207

LINKS

Table of n, a(n) for n=0..100.

FORMULA

M = {{0, 1}, {1, 1}}; M1 = {{0, 0}, {1/10, 0}};

v(n)=M.v(n-1)+Floor[M1.v(n-1),10];

a(n)=Mod[v(n)[[1]],10].

MATHEMATICA

Clear[M, M1, v, n];

M = {{0, 1}, {1, 1}}; M1 = {{0, 0}, {1/10, 0}};

v[0] = {1, 1};

v[n_] := v[n] = M.v[n - 1] + Floor[M1.v[n - 1]];

Table[v[n][[1]], {n, 0, 100}]

Table[Mod[v[n][[1]], 10], {n, 0, 100}]

CROSSREFS

Sequence in context: A096320 A105955 A003893 * A064737 A246558 A307638

Adjacent sequences:  A152300 A152301 A152302 * A152304 A152305 A152306

KEYWORD

nonn

AUTHOR

Roger L. Bagula, Dec 02 2008

STATUS

approved

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Last modified November 29 21:32 EST 2021. Contains 349416 sequences. (Running on oeis4.)