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A050012
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a(n) = floor(a(n-1)/2) if this is positive and not yet in the sequence, otherwise a(n) = 7*a(n-1).
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6
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1, 7, 3, 21, 10, 5, 2, 14, 98, 49, 24, 12, 6, 42, 294, 147, 73, 36, 18, 9, 4, 28, 196, 1372, 686, 343, 171, 85, 595, 297, 148, 74, 37, 259, 129, 64, 32, 16, 8, 56, 392, 2744, 19208, 9604, 4802, 2401, 1200, 600, 300, 150, 75, 525, 262
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OFFSET
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1,2
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LINKS
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MATHEMATICA
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Rest@Nest[Append[#, If[FreeQ[#, r = Quotient[#[[-1]], 2]], r, 7 #[[-1]]]] &, {0, 1}, 52] (* Ivan Neretin, Jul 31 2016 *)
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PROG
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(PARI) first(n)=my(v=vector(n), t); v[1]=1; for(i=2, n, t=v[i-1]\2; if(t<2, v[i]=7*v[i-1]; next); for(j=1, i-1, if(v[j]==t, v[i]=7*v[i-1]; next(2))); v[i]=t); v \\ Charles R Greathouse IV, Jul 31 2016
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CROSSREFS
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Cf. A050000 and references therein.
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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