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A010882 Simple periodic sequence. +0
4
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; listen)
OFFSET

0,2

COMMENT

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 (ppl(AT)spl.at), Feb 16 2009]

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 (ppl(AT)spl.at), 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

MATHEMATICA

Nest[ Flatten[ # /. {1 -> {1, 2}, 2 -> {3, 1}, 3 -> {2, 3}}] &, {1}, 7] (from Robert G. Wilson v Mar 08 2005)

CROSSREFS

Cf. A010872, A010873, A010874, A010875, A010876, A004526, A002264, A002265, A002266.

Sequence in context: A082846 A117373 A132677 this_sequence A106590 A054073 A059832

Adjacent sequences: A010879 A010880 A010881 this_sequence A010883 A010884 A010885

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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