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A071991
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a(1) = a(2) = 1; a(n) = a(floor(n/3)) + a(n - floor(n/3)).
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2
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1, 1, 2, 3, 4, 4, 5, 5, 6, 7, 7, 8, 9, 10, 11, 11, 12, 12, 13, 14, 15, 16, 16, 16, 17, 17, 18, 19, 20, 21, 22, 23, 23, 23, 23, 24, 25, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 34, 34, 34, 35, 35, 36, 36, 37, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 49, 50, 50, 50, 50
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| "Rauzy's sequence" with initial values 1, 1.
David Moews showed that a(n)/n converges to about 0.68756. - Jim Nastos (nastos(AT)gmail.com), Jan 08 2003
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LINKS
| David Moews, Asymptotic behavior of Rauzy's sequence
J. O. Shallit, Ten Problems I Can't Solve (1.1 MB ps)
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MATHEMATICA
| a[1]=a[2]=1; a[n_] := a[n]=a[Floor[n/3]]+a[n-Floor[n/3]]; Table[a[n], {n, 0, 75}]
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CROSSREFS
| a(n) = A071995(n) + A071996(n).
Sequence in context: A039733 A179510 A005374 * A096336 A081609 A046700
Adjacent sequences: A071988 A071989 A071990 * A071992 A071993 A071994
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KEYWORD
| easy,nonn
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AUTHOR
| Jim Nastos (nastos(AT)alumni.uwaterloo.ca), Jun 17 2002
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com) and Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 23 2002
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