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 A131555 Period 6: repeat [0, 0, 1, 1, 2, 2]. 3
 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS Index entries for linear recurrences with constant coefficients, signature (1,-1,1,-1,1). FORMULA a(n) = (1/30)*(12*(n mod 6)+2*((n+1) mod 6)-3*((n+2) mod 6)+2*((n+3) mod 6)-3*((n+4) mod 6)+2*((n+5) mod 6)). - Paolo P. Lava, Aug 28 2007 G.f.: (2*x^2+1)*x^2/((1-x)*(x^2+x+1)*(x^2-x+1)). - R. J. Mathar, Nov 14 2007 a(n) = floor((n mod 6)/2). - Gary Detlefs, Jul 02 2011 a(0)=0, a(1)=0, a(2)=1, a(3)=1, a(4)=2; for n>4, a(n) = a(n-1)-a(n-2)+a(n-3)- a(n-4)+a(n-5). - Harvey P. Dale, Mar 30 2012 a(n) = (3*sin(n*Pi/6) - sqrt(3)*cos(n*Pi/6)) * (2*sin(n*Pi/6) + sin(n*Pi/2))/3. - Wesley Ivan Hurt, Jun 20 2016 a(n) = floor(n/2) mod 3. - Bruno Berselli, Oct 03 2017 MAPLE A131555:=n->[0, 0, 1, 1, 2, 2][(n mod 6)+1]: seq(A131555(n), n=0..100); # Wesley Ivan Hurt, Jun 20 2016 MATHEMATICA PadRight[{}, 120, {0, 0, 1, 1, 2, 2}] (* or *) LinearRecurrence[{1, -1, 1, -1, 1}, {0, 0, 1, 1, 2}, 120] (* Harvey P. Dale, Mar 30 2012 *) PROG (PARI) a(n)=n%6\2 \\ Jaume Oliver Lafont, Aug 28 2009 (MAGMA) &cat [[0, 0, 1, 1, 2, 2]^^20]; // Wesley Ivan Hurt, Jun 20 2016 CROSSREFS Cf. A105899. Sequence in context: A227838 A050605 A060571 * A293209 A318753 A318757 Adjacent sequences:  A131552 A131553 A131554 * A131556 A131557 A131558 KEYWORD nonn,easy AUTHOR Paul Curtz, Aug 27 2007 EXTENSIONS Edited by N. J. A. Sloane, Sep 15 2007 Formula simplified by Bruno Berselli, Sep 27 2010 STATUS approved

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Last modified January 29 04:46 EST 2020. Contains 331335 sequences. (Running on oeis4.)