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A071995
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a(1) = 1, a(2) = 0, a(n) = a(floor(n/3)) + a(n - floor(n/3)).
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3
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1, 0, 1, 2, 3, 2, 3, 2, 3, 4, 3, 4, 5, 6, 7, 6, 7, 6, 7, 8, 9, 10, 9, 8, 9, 8, 9, 10, 11, 12, 13, 14, 13, 12, 11, 12, 13, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 20, 19, 18, 19, 18, 19, 18, 19, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 29, 30, 29, 28, 27, 26, 27, 28, 27, 26
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OFFSET
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1,4
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COMMENTS
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"Rauzy's sequence" with initial values 1, 0.
David Moews showed that a(n)/n converges to about 0.37512. - Jim Nastos, Jan 08 2003
Difference of consecutive terms is always +/- 1.
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LINKS
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MATHEMATICA
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a[1]=1; a[2]=0; a[n_] := a[n]=a[Floor[n/3]]+a[n-Floor[n/3]]; Table[a[n], {n, 1, 80}]
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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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