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A130731
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Period 4: repeat 1,2,0,0.
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0
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1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (0,0,0,1).
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FORMULA
| a(n) = (1/8)*(-(n mod 4)+((n+1) mod 4)+5*((n+2) mod 4)-((n+3) mod 4)). - Paolo P. Lava, Aug 28 2007
a(n) = 3/4+(1/4-(1/2)*I)*I^n-(1/4)*(-1)^n+(1/4+(1/2)*I)*(-I)^n, I=sqrt(-1) - Paolo P. Lava, Jul 17 2008
a(n) = (n mod 4) mod 3, with offset 1..a(1)=1. - Gary Detlefs, Mar 28 2010
a(n) = floor(((2*n+4) mod 8)/3). - Gary Detlefs, Jul 02 2011
a(n) = (3-(-1)^n)*(1+i^((n-1)*n))/4, where i=sqrt(-1). - Bruno Berselli, Sep 28 2011
G.f.: (1+2*x)/(1-x^4). - Bruno Berselli, Sep 28 2011
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CROSSREFS
| Sequence in context: A035671 A190164 A131488 * A025875 A026840 A025873
Adjacent sequences: A130728 A130729 A130730 * A130732 A130733 A130734
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KEYWORD
| nonn,easy
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AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Aug 17 2007
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EXTENSIONS
| Edited by N. J. A. Sloane, Sep 15 2007
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