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A010882
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Simple periodic sequence.
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10
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1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Partial sums are given by A130481(n)+n+1. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 08 2007
41/333=0,123123123... [From Eric Desbiaux (moongerms(AT)wanadoo.fr), Nov 03 2008]
Terms of the simple continued fraction for 3/(sqrt(37)-4). [From Paolo P. Lava (paoloplava(AT)gmail.com), Feb 16 2009]
a(n) = A180593(n+1)/3. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 25 2010]
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (0,0,1).
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FORMULA
| G.f.: (1+2x+3x^2)/(1-x^3). - Paul Barry (pbarry(AT)wit.ie), May 25 2003
a(n) = 1 + (n mod 3). - Paolo P. Lava (paoloplava(AT)gmail.com), Nov 21 2006
a(n) = A010872(n)+1. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 08 2007
a(n) = 6 - a(n-1) - a(n-2) for n > 1. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 13 2008
a(n) = n+1-3*floor(n/3) = floor(41*10^(n+1)/333)-floor(41*10^n/333)*10; a(n)-a(n-3)=0 with n>2. - Bruno Berselli, Jun 28 2010
a(n) = floor((4*n+3)/3) mod 4. [From Gary Detlefs (gdetlefs(AT)aol.com), May 15 2011]
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MATHEMATICA
| Nest[ Flatten[ # /. {1 -> {1, 2}, 2 -> {3, 1}, 3 -> {2, 3}}] &, {1}, 7] (from Robert G. Wilson v Mar 08 2005)
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CROSSREFS
| Cf. A010872, A010873, A010874, A010875, A010876, A004526, A002264, A002265, A002266, A177036 (decimal expansion of (4+sqrt(37))/7).
Sequence in context: A082846 A117373 A132677 * A106590 A194074 A175469
Adjacent sequences: A010879 A010880 A010881 * A010883 A010884 A010885
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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