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A138684
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First differences of A138683.
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1
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1, 3, 1, 1, 4, 1, 3, 1, 1, 1, 1, 6, 1, 3, 1, 1, 4, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 1, 3, 1, 1, 4, 1, 3, 1, 1, 1, 1, 6, 1, 3, 1, 1, 4, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 23, 1, 3, 1, 1, 4, 1, 3, 1, 1, 1, 1, 6, 1, 3, 1, 1, 4, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 1, 3, 1, 1, 4, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| The graph of this sequence is fractal-like.
Conjecture. Let x(1)=1, x(2)=2), x(n)=2*x(n-1)+x(n-2), and let y(1)=1, y(2)=3, y(n)=y(n-1)+y(n-2). Then if n=x(k), a(n)=y(k); if x(k)<n<2*x(k), a(n)=a(n-x(k)); and if 2*x(k)<=n<x(k+1), a(n)=1. {This has been confirmed for n<500.) [John W. Layman, Nov 26 2011]
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CROSSREFS
| Cf. A114889, A114890, A138683.
Sequence in context: A084795 A030184 A104610 * A132442 A074927 A191780
Adjacent sequences: A138681 A138682 A138683 * A138685 A138686 A138687
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KEYWORD
| nonn
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AUTHOR
| John W. Layman (layman(AT)math.vt.edu), Mar 26 2008
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