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 A106730 Product-based sequence of a Markov type based on a functional addition group. 0
 2, 3, 0, 1, 3, 0, 1, 2, 4, 0, 1, 0, 1, 3, 4, 2, 3, 0, 1, 4, 4, 2, 3, 0, 1, 3, 0, 1, 2, 4, 4, 4, 0, 1, 4, 2, 2, 0, 1, 2, 2, 4, 4, 0, 1, 0, 1, 4, 4, 0, 1, 0, 1, 3, 4, 2, 3, 0, 1, 0, 1, 4, 2, 3, 3, 3, 2, 2, 0, 1, 4, 4, 3, 2, 4, 0, 1, 3, 4, 0, 1, 3, 0, 1, 0, 1, 4, 2, 0, 1, 2, 0, 1, 3, 4, 3, 4, 2, 4, 3, 2, 3, 3, 3, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The object of this sequence is to show a product Markov can be formed from an Addition group based on the primes. Modulo five can be taken as a signed modulo three: {0,1,2,3,4}->{-2,-1,0,-1,-2} LINKS FORMULA f(n)=10-Mod[Prime[n+3], 10] g[n]=Mod[Mod[n, 5], 4] h(n)]=g(f(n)) a(n)=Mod[Mod[(1+h[n))*a(n-1), 5]+1, 5] MATHEMATICA f[n_] = 10 - Mod[Prime[n + 3], 10] g[n_] = Mod[Mod[n, 5], 4] h[n_] = g[f[n]] digits = 20 aa[1] = 2; aa[n_] := aa[n] = Mod[Mod[aa[n - 1]*(1 + h[n]), 5] + 1, 5] c = Table[aa[n], {n, 1, digits^2/2}] CROSSREFS Sequence in context: A170899 A221321 A179392 * A089652 A195467 A112168 Adjacent sequences:  A106727 A106728 A106729 * A106731 A106732 A106733 KEYWORD nonn,uned AUTHOR Roger L. Bagula, May 14 2005 STATUS approved

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Last modified March 22 01:06 EDT 2019. Contains 321406 sequences. (Running on oeis4.)