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Search: id:A010883
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A010883 Simple periodic sequence: repeat 1,2,3,4. +0
1
1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1 (list; graph; listen)
OFFSET

0,2

COMMENT

Partial sums are given by A130482(n)+n+1. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 08 2007

1234/9999=0,123412341234... [From Eric Desbiaux (moongerms(AT)wanadoo.fr), Nov 03 2008]

Terms of the simple continued fraction of 5/(2*sqrt(39)-9). [From Paolo P. Lava (ppl(AT)spl.at), Feb 16 2009]

FORMULA

a(n) = 1 + (n mod 4) - Paolo P. Lava (ppl(AT)spl.at), Nov 21 2006

a(n)=A010873(n)+1. Also a(n)=1/2*(5-(-1)^n-2*(-1)^((2n-1+(-1)^n)/4))). G.f.: g(x)=(4x^3+3x^2+2x+1)/(1-x^4)=(4x^5-5x^4+1)/((1-x^4)(1-x)^2). - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 08 2007

CROSSREFS

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

Sequence in context: A078978 A159957 A053840 this_sequence A011542 A053344 A092196

Adjacent sequences: A010880 A010881 A010882 this_sequence A010884 A010885 A010886

KEYWORD

nonn

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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