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A071996
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a(1) = 0, a(2) = 1, a(n) = a(floor(n/3)) + a(n - floor(n/3)).
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4
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0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 15, 16, 16, 17, 17, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 21, 22, 23, 24, 24, 24, 25, 26, 26, 27
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OFFSET
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1,6
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COMMENTS
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"Rauzy's sequence" with initial values 0, 1.
David Moews showed that a(n)/n converges to about 0.31244. - Jim Nastos, Jan 08 2003
Difference of consecutive terms is always 0 or 1
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LINKS
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MATHEMATICA
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a[1]=0; a[2]=1; a[n_] := a[n]=a[Floor[n/3]]+a[n-Floor[n/3]]; Table[a[n], {n, 1, 75}]
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PROG
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(PARI)
n = 33; v = vector(n); v[1] = 'x; v[2] = 'y;
for(i = 3, n, v[i] = v[floor(i/3)] + v[i - floor(i/3)]);
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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